3,690,636

2² × 3 × 19 × 16187

3,690,636 has digital root 6. The neighboring primes are 3690629 and 3690671; its proper-divisor sum differs from the starting integer by 1,684,008.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 16187

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,065,280

Proper Divisor Sum 5,374,644

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3690629 ← → #3690671

Radix Representation

Decimal	3690636
Binary	1110000101000010001100 (22 bits)
Octal	0o16050214
Hexadecimal	0x38508C

Divisor Catalog (24)

1 2 3 4 6 12 19 38 57 76 114 228 16,187 32,374 48,561 64,748 97,122 194,244 307,553 615,106 922,659 1,230,212 1,845,318 3,690,636

Collatz Trajectory (172 steps to reach 1)

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

3,690,636 1,845,318 922,659 2,767,978 1,383,989 4,151,968 2,075,984 1,037,992 518,996 259,498 129,749 389,248 194,624 97,312 48,656 24,328 12,164 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109

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