36,589,742

2 × 7 × 1181 × 2213

36,589,742 factors as 2 × 7 × 1181 × 2213. Its 16 positive divisors give a proper-divisor sum of 26,217,010, so this integer is deficient. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2 × 7 × 1181 × 2213

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 62,806,752

Proper Divisor Sum 26,217,010

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #36589727 ← → #36589747

Radix Representation

Decimal	36589742
Binary	10001011100101000010101110 (26 bits)
Octal	0o213450256
Hexadecimal	0x22E50AE

Divisor Catalog (16)

1 2 7 14 1,181 2,213 2,362 4,426 8,267 15,491 16,534 30,982 2,613,553 5,227,106 18,294,871 36,589,742

Collatz Trajectory (82 steps to reach 1)

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

36,589,742 18,294,871 54,884,614 27,442,307 82,326,922 41,163,461 123,490,384 61,745,192 30,872,596 15,436,298 7,718,149 23,154,448 11,577,224 5,788,612 2,894,306 1,447,153 4,341,460 2,170,730 1,085,365 3,256,096 1,628,048 814,024 407,012 203,506 101,753 305,260 152,630 76,315 228,946 114,473 343,420 171,710 85,855 257,566 128,783 386,350 193,175 579,526 289,763 869,290 434,645 1,303,936 651,968 325,984 162,992 81,496 40,748 20,374 10,187 30,562 15,281 45,844 22,922 11,461 34,384 17,192 8,596 4,298 2,149 6,448

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