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Atlas › Integer Profiles › Node 60,075,250

60,075,250

2 × 53 × 41 × 5861
Deficient Even Composite

60,075,250 factors as 2 × 5^3 × 41 × 5861. Its 32 positive divisors give a proper-divisor sum of 55,148,222, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2 × 5^3 × 41 × 5861
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 115,223,472
Proper Divisor Sum 55,148,222
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #60075247 ← → #60075251

Radix Representation

Decimal 60075250
Binary 11100101001010110011110010 (26 bits)
Octal 0o345126362
Hexadecimal 0x394ACF2

Divisor Catalog (32)

1 2 5 10 25 41 50 82 125 205 250 410 1,025 2,050 5,125 5,861 10,250 11,722 29,305 58,610 146,525 240,301 293,050 480,602 732,625 1,201,505 1,465,250 2,403,010 6,007,525 12,015,050 30,037,625 60,075,250

Collatz Trajectory (137 steps to reach 1)

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

60,075,250 30,037,625 90,112,876 45,056,438 22,528,219 67,584,658 33,792,329 101,376,988 50,688,494 25,344,247 76,032,742 38,016,371 114,049,114 57,024,557 171,073,672 85,536,836 42,768,418 21,384,209 64,152,628 32,076,314 16,038,157 48,114,472 24,057,236 12,028,618 6,014,309 18,042,928 9,021,464 4,510,732 2,255,366 1,127,683 3,383,050 1,691,525 5,074,576 2,537,288 1,268,644 634,322 317,161 951,484 475,742 237,871 713,614 356,807 1,070,422 535,211 1,605,634 802,817 2,408,452 1,204,226 602,113 1,806,340 903,170 451,585 1,354,756 677,378 338,689 1,016,068 508,034 254,017 762,052 381,026

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