36,948,272

2⁴ × 2309267

36,948,272 factors as 2^4 × 2309267. Its 10 positive divisors give a proper-divisor sum of 34,639,036, so this integer is deficient. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^4 × 2309267

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 71,587,308

Proper Divisor Sum 34,639,036

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #36948271 ← → #36948287

Radix Representation

Decimal	36948272
Binary	10001100111100100100110000 (26 bits)
Octal	0o214744460
Hexadecimal	0x233C930

Divisor Catalog (10)

1 2 4 8 16 2,309,267 4,618,534 9,237,068 18,474,136 36,948,272

Collatz Trajectory (90 steps to reach 1)

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

36,948,272 18,474,136 9,237,068 4,618,534 2,309,267 6,927,802 3,463,901 10,391,704 5,195,852 2,597,926 1,298,963 3,896,890 1,948,445 5,845,336 2,922,668 1,461,334 730,667 2,192,002 1,096,001 3,288,004 1,644,002 822,001 2,466,004 1,233,002 616,501 1,849,504 924,752 462,376 231,188 115,594 57,797 173,392 86,696 43,348 21,674 10,837 32,512 16,256 8,128 4,064 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093

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