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Atlas › Integer Profiles › Node 36,928,216

36,928,216

23 × 13 × 17 × 20887
Abundant Even Composite

36,928,216 factors as 2^3 × 13 × 17 × 20887. Its 32 positive divisors give a proper-divisor sum of 42,028,424, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 17 × 20887
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 78,956,640
Proper Divisor Sum 42,028,424
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #36928211 ← → #36928217

Radix Representation

Decimal 36928216
Binary 10001100110111101011011000 (26 bits)
Octal 0o214675330
Hexadecimal 0x2337AD8

Divisor Catalog (32)

1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1,768 20,887 41,774 83,548 167,096 271,531 355,079 543,062 710,158 1,086,124 1,420,316 2,172,248 2,840,632 4,616,027 9,232,054 18,464,108 36,928,216

Collatz Trajectory (214 steps to reach 1)

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

36,928,216 18,464,108 9,232,054 4,616,027 13,848,082 6,924,041 20,772,124 10,386,062 5,193,031 15,579,094 7,789,547 23,368,642 11,684,321 35,052,964 17,526,482 8,763,241 26,289,724 13,144,862 6,572,431 19,717,294 9,858,647 29,575,942 14,787,971 44,363,914 22,181,957 66,545,872 33,272,936 16,636,468 8,318,234 4,159,117 12,477,352 6,238,676 3,119,338 1,559,669 4,679,008 2,339,504 1,169,752 584,876 292,438 146,219 438,658 219,329 657,988 328,994 164,497 493,492 246,746 123,373 370,120 185,060 92,530 46,265 138,796 69,398 34,699 104,098 52,049 156,148 78,074 39,037

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