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Atlas › Integer Profiles › Node 61,988,480

61,988,480

27 × 5 × 96857
Abundant Even Composite

61,988,480 factors as 2^7 × 5 × 96857. Its 32 positive divisors give a proper-divisor sum of 86,204,260, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^7 × 5 × 96857
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 148,192,740
Proper Divisor Sum 86,204,260
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #61988471 ← → #61988483

Radix Representation

Decimal 61988480
Binary 11101100011101111010000000 (26 bits)
Octal 0o354357200
Hexadecimal 0x3B1DE80

Divisor Catalog (32)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 96,857 193,714 387,428 484,285 774,856 968,570 1,549,712 1,937,140 3,099,424 3,874,280 6,198,848 7,748,560 12,397,696 15,497,120 30,994,240 61,988,480

Collatz Trajectory (176 steps to reach 1)

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

61,988,480 30,994,240 15,497,120 7,748,560 3,874,280 1,937,140 968,570 484,285 1,452,856 726,428 363,214 181,607 544,822 272,411 817,234 408,617 1,225,852 612,926 306,463 919,390 459,695 1,379,086 689,543 2,068,630 1,034,315 3,102,946 1,551,473 4,654,420 2,327,210 1,163,605 3,490,816 1,745,408 872,704 436,352 218,176 109,088 54,544 27,272 13,636 6,818 3,409 10,228 5,114 2,557 7,672 3,836 1,918 959 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934

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