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Atlas › Integer Profiles › Node 36,937,232

36,937,232

24 × 577 × 4001
Deficient Even Composite

36,937,232 factors as 2^4 × 577 × 4001. Its 20 positive divisors give a proper-divisor sum of 34,770,604, so this integer is deficient. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^4 × 577 × 4001
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 71,707,836
Proper Divisor Sum 34,770,604
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #36937231 ← → #36937247

Radix Representation

Decimal 36937232
Binary 10001100111001111000010000 (26 bits)
Octal 0o214717020
Hexadecimal 0x2339E10

Divisor Catalog (20)

1 2 4 8 16 577 1,154 2,308 4,001 4,616 8,002 9,232 16,004 32,008 64,016 2,308,577 4,617,154 9,234,308 18,468,616 36,937,232

Collatz Trajectory (108 steps to reach 1)

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

36,937,232 18,468,616 9,234,308 4,617,154 2,308,577 6,925,732 3,462,866 1,731,433 5,194,300 2,597,150 1,298,575 3,895,726 1,947,863 5,843,590 2,921,795 8,765,386 4,382,693 13,148,080 6,574,040 3,287,020 1,643,510 821,755 2,465,266 1,232,633 3,697,900 1,848,950 924,475 2,773,426 1,386,713 4,160,140 2,080,070 1,040,035 3,120,106 1,560,053 4,680,160 2,340,080 1,170,040 585,020 292,510 146,255 438,766 219,383 658,150 329,075 987,226 493,613 1,480,840 740,420 370,210 185,105 555,316 277,658 138,829 416,488 208,244 104,122 52,061 156,184 78,092 39,046

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