36,946,221

3 × 13 × 809 × 1171

36,946,221 factors as 3 × 13 × 809 × 1171. Its 16 positive divisors give a proper-divisor sum of 16,215,699, so this integer is deficient. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 3 × 13 × 809 × 1171

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 53,161,920

Proper Divisor Sum 16,215,699

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #36946201 ← → #36946223

Radix Representation

Decimal	36946221
Binary	10001100111100000100101101 (26 bits)
Octal	0o214740455
Hexadecimal	0x233C12D

Divisor Catalog (16)

1 3 13 39 809 1,171 2,427 3,513 10,517 15,223 31,551 45,669 947,339 2,842,017 12,315,407 36,946,221

Collatz Trajectory (227 steps to reach 1)

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

36,946,221 110,838,664 55,419,332 27,709,666 13,854,833 41,564,500 20,782,250 10,391,125 31,173,376 15,586,688 7,793,344 3,896,672 1,948,336 974,168 487,084 243,542 121,771 365,314 182,657 547,972 273,986 136,993 410,980 205,490 102,745 308,236 154,118 77,059 231,178 115,589 346,768 173,384 86,692 43,346 21,673 65,020 32,510 16,255 48,766 24,383 73,150 36,575 109,726 54,863 164,590 82,295 246,886 123,443 370,330 185,165 555,496 277,748 138,874 69,437 208,312 104,156 52,078 26,039 78,118 39,059

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