36,722,336

2⁵ × 7 × 71 × 2309

36,722,336 factors as 2^5 × 7 × 71 × 2309. Its 48 positive divisors give a proper-divisor sum of 47,102,944, so this integer is abundant. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 71 × 2309

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 83,825,280

Proper Divisor Sum 47,102,944

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #36722327 ← → #36722339

Radix Representation

Decimal	36722336
Binary	10001100000101011010100000 (26 bits)
Octal	0o214053240
Hexadecimal	0x23056A0

Divisor Catalog (48)

Collatz Trajectory (227 steps to reach 1)

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

36,722,336 18,361,168 9,180,584 4,590,292 2,295,146 1,147,573 3,442,720 1,721,360 860,680 430,340 215,170 107,585 322,756 161,378 80,689 242,068 121,034 60,517 181,552 90,776 45,388 22,694 11,347 34,042 17,021 51,064 25,532 12,766 6,383 19,150 9,575 28,726 14,363 43,090 21,545 64,636 32,318 16,159 48,478 24,239 72,718 36,359 109,078 54,539 163,618 81,809 245,428 122,714 61,357 184,072 92,036 46,018 23,009 69,028 34,514 17,257 51,772 25,886 12,943 38,830

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