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Atlas › Integer Profiles › Node 79,520,474

79,520,474

2 × 112 × 37 × 83 × 107
Deficient Even Composite

79,520,474 factors as 2 × 11^2 × 37 × 83 × 107. Its 48 positive divisors give a proper-divisor sum of 58,029,190, so this integer is deficient. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2 × 11^2 × 37 × 83 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 137,549,664
Proper Divisor Sum 58,029,190
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #79520461 ← → #79520477

Radix Representation

Decimal 79520474
Binary 100101111010110001011011010 (27 bits)
Octal 0o457261332
Hexadecimal 0x4BD62DA

Divisor Catalog (48)

1 2 11 22 37 74 83 107 121 166 214 242 407 814 913 1,177 1,826 2,354 3,071 3,959 4,477 6,142 7,918 8,881 8,954 10,043 12,947 17,762 20,086 25,894 33,781 43,549 67,562 87,098 97,691 195,382 328,597 371,591 479,039 657,194 743,182 958,078 1,074,601 2,149,202 3,614,567 7,229,134 39,760,237 79,520,474

Collatz Trajectory (192 steps to reach 1)

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

79,520,474 39,760,237 119,280,712 59,640,356 29,820,178 14,910,089 44,730,268 22,365,134 11,182,567 33,547,702 16,773,851 50,321,554 25,160,777 75,482,332 37,741,166 18,870,583 56,611,750 28,305,875 84,917,626 42,458,813 127,376,440 63,688,220 31,844,110 15,922,055 47,766,166 23,883,083 71,649,250 35,824,625 107,473,876 53,736,938 26,868,469 80,605,408 40,302,704 20,151,352 10,075,676 5,037,838 2,518,919 7,556,758 3,778,379 11,335,138 5,667,569 17,002,708 8,501,354 4,250,677 12,752,032 6,376,016 3,188,008 1,594,004 797,002 398,501 1,195,504 597,752 298,876 149,438 74,719 224,158 112,079 336,238 168,119 504,358

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