λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,516,300

61,516,300

22 × 52 × 19 × 32377
Abundant Even Composite

61,516,300 factors as 2^2 × 5^2 × 19 × 32377. Its 36 positive divisors give a proper-divisor sum of 79,004,220, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 19 × 32377
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 140,520,520
Proper Divisor Sum 79,004,220
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #61516267 ← → #61516303

Radix Representation

Decimal 61516300
Binary 11101010101010101000001100 (26 bits)
Octal 0o352525014
Hexadecimal 0x3AAAA0C

Divisor Catalog (36)

1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1,900 32,377 64,754 129,508 161,885 323,770 615,163 647,540 809,425 1,230,326 1,618,850 2,460,652 3,075,815 3,237,700 6,151,630 12,303,260 15,379,075 30,758,150 61,516,300

Collatz Trajectory (238 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

61,516,300 30,758,150 15,379,075 46,137,226 23,068,613 69,205,840 34,602,920 17,301,460 8,650,730 4,325,365 12,976,096 6,488,048 3,244,024 1,622,012 811,006 405,503 1,216,510 608,255 1,824,766 912,383 2,737,150 1,368,575 4,105,726 2,052,863 6,158,590 3,079,295 9,237,886 4,618,943 13,856,830 6,928,415 20,785,246 10,392,623 31,177,870 15,588,935 46,766,806 23,383,403 70,150,210 35,075,105 105,225,316 52,612,658 26,306,329 78,918,988 39,459,494 19,729,747 59,189,242 29,594,621 88,783,864 44,391,932 22,195,966 11,097,983 33,293,950 16,646,975 49,940,926 24,970,463 74,911,390 37,455,695 112,367,086 56,183,543 168,550,630 84,275,315

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #61,516,299 Browse Full Index Next Integer #61,516,301 →