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Atlas › Integer Profiles › Node 36,949,072

36,949,072

24 × 192 × 6397
Abundant Even Composite

36,949,072 factors as 2^4 × 19^2 × 6397. Its 30 positive divisors give a proper-divisor sum of 38,617,706, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^4 × 19^2 × 6397
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 75,566,778
Proper Divisor Sum 38,617,706
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #36949069 ← → #36949139

Radix Representation

Decimal 36949072
Binary 10001100111100110001010000 (26 bits)
Octal 0o214746120
Hexadecimal 0x233CC50

Divisor Catalog (30)

1 2 4 8 16 19 38 76 152 304 361 722 1,444 2,888 5,776 6,397 12,794 25,588 51,176 102,352 121,543 243,086 486,172 972,344 1,944,688 2,309,317 4,618,634 9,237,268 18,474,536 36,949,072

Collatz Trajectory (152 steps to reach 1)

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

36,949,072 18,474,536 9,237,268 4,618,634 2,309,317 6,927,952 3,463,976 1,731,988 865,994 432,997 1,298,992 649,496 324,748 162,374 81,187 243,562 121,781 365,344 182,672 91,336 45,668 22,834 11,417 34,252 17,126 8,563 25,690 12,845 38,536 19,268 9,634 4,817 14,452 7,226 3,613 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182

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