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Atlas › Integer Profiles › Node 36,929,030

36,929,030

2 × 5 × 23 × 307 × 523
Deficient Even Composite

36,929,030 factors as 2 × 5 × 23 × 307 × 523. Its 32 positive divisors give a proper-divisor sum of 32,792,314, so this integer is deficient. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2 × 5 × 23 × 307 × 523
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 69,721,344
Proper Divisor Sum 32,792,314
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #36928999 ← → #36929033

Radix Representation

Decimal 36929030
Binary 10001100110111111000000110 (26 bits)
Octal 0o214677006
Hexadecimal 0x2337E06

Divisor Catalog (32)

1 2 5 10 23 46 115 230 307 523 614 1,046 1,535 2,615 3,070 5,230 7,061 12,029 14,122 24,058 35,305 60,145 70,610 120,290 160,561 321,122 802,805 1,605,610 3,692,903 7,385,806 18,464,515 36,929,030

Collatz Trajectory (183 steps to reach 1)

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

36,929,030 18,464,515 55,393,546 27,696,773 83,090,320 41,545,160 20,772,580 10,386,290 5,193,145 15,579,436 7,789,718 3,894,859 11,684,578 5,842,289 17,526,868 8,763,434 4,381,717 13,145,152 6,572,576 3,286,288 1,643,144 821,572 410,786 205,393 616,180 308,090 154,045 462,136 231,068 115,534 57,767 173,302 86,651 259,954 129,977 389,932 194,966 97,483 292,450 146,225 438,676 219,338 109,669 329,008 164,504 82,252 41,126 20,563 61,690 30,845 92,536 46,268 23,134 11,567 34,702 17,351 52,054 26,027 78,082 39,041

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