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Atlas › Integer Profiles › Node 6,041,220

6,041,220

22 × 3 × 5 × 107 × 941
Abundant Even Composite

6,041,220 factors as 2^2 × 3 × 5 × 107 × 941. Its 48 positive divisors give a proper-divisor sum of 11,050,428, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 107 × 941
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,091,648
Proper Divisor Sum 11,050,428
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #6041207 ← → #6041267

Radix Representation

Decimal 6041220
Binary 10111000010111010000100 (23 bits)
Octal 0o27027204
Hexadecimal 0x5C2E84

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 941 1,070 1,284 1,605 1,882 2,140 2,823 3,210 3,764 4,705 5,646 6,420 9,410 11,292 14,115 18,820 28,230 56,460 100,687 201,374 302,061 402,748 503,435 604,122 1,006,870 1,208,244 1,510,305 2,013,740 3,020,610 6,041,220

Collatz Trajectory (90 steps to reach 1)

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

6,041,220 3,020,610 1,510,305 4,530,916 2,265,458 1,132,729 3,398,188 1,699,094 849,547 2,548,642 1,274,321 3,822,964 1,911,482 955,741 2,867,224 1,433,612 716,806 358,403 1,075,210 537,605 1,612,816 806,408 403,204 201,602 100,801 302,404 151,202 75,601 226,804 113,402 56,701 170,104 85,052 42,526 21,263 63,790 31,895 95,686 47,843 143,530 71,765 215,296 107,648 53,824 26,912 13,456 6,728 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066

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