36,701,637

3 × 7² × 249671

36,701,637 factors as 3 × 7^2 × 249671. Its 12 positive divisors give a proper-divisor sum of 20,223,579, so this integer is deficient. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 249671

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 56,925,216

Proper Divisor Sum 20,223,579

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #36701591 ← → #36701671

Radix Representation

Decimal	36701637
Binary	10001100000000010111000101 (26 bits)
Octal	0o214002705
Hexadecimal	0x23005C5

Divisor Catalog (12)

1 3 7 21 49 147 249,671 749,013 1,747,697 5,243,091 12,233,879 36,701,637

Collatz Trajectory (108 steps to reach 1)

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

36,701,637 110,104,912 55,052,456 27,526,228 13,763,114 6,881,557 20,644,672 10,322,336 5,161,168 2,580,584 1,290,292 645,146 322,573 967,720 483,860 241,930 120,965 362,896 181,448 90,724 45,362 22,681 68,044 34,022 17,011 51,034 25,517 76,552 38,276 19,138 9,569 28,708 14,354 7,177 21,532 10,766 5,383 16,150 8,075 24,226 12,113 36,340 18,170 9,085 27,256 13,628 6,814 3,407 10,222 5,111 15,334 7,667 23,002 11,501 34,504 17,252 8,626 4,313 12,940 6,470

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