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Atlas › Integer Profiles › Node 36,874,600

36,874,600

23 × 52 × 7 × 26339
Abundant Even Composite

36,874,600 factors as 2^3 × 5^2 × 7 × 26339. Its 48 positive divisors give a proper-divisor sum of 61,110,200, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7 × 26339
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 97,984,800
Proper Divisor Sum 61,110,200
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #36874597 ← → #36874613

Radix Representation

Decimal 36874600
Binary 10001100101010100101101000 (26 bits)
Octal 0o214524550
Hexadecimal 0x232A968

Divisor Catalog (48)

1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1,400 26,339 52,678 105,356 131,695 184,373 210,712 263,390 368,746 526,780 658,475 737,492 921,865 1,053,560 1,316,950 1,474,984 1,843,730 2,633,900 3,687,460 4,609,325 5,267,800 7,374,920 9,218,650 18,437,300 36,874,600

Collatz Trajectory (103 steps to reach 1)

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

36,874,600 18,437,300 9,218,650 4,609,325 13,827,976 6,913,988 3,456,994 1,728,497 5,185,492 2,592,746 1,296,373 3,889,120 1,944,560 972,280 486,140 243,070 121,535 364,606 182,303 546,910 273,455 820,366 410,183 1,230,550 615,275 1,845,826 922,913 2,768,740 1,384,370 692,185 2,076,556 1,038,278 519,139 1,557,418 778,709 2,336,128 1,168,064 584,032 292,016 146,008 73,004 36,502 18,251 54,754 27,377 82,132 41,066 20,533 61,600 30,800 15,400 7,700 3,850 1,925 5,776 2,888 1,444 722 361 1,084

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