3,215,261

7 × 17 × 41 × 659

3,215,261 factors as 7 × 17 × 41 × 659. Its 16 positive divisors give a proper-divisor sum of 776,419, so this integer is deficient. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 7 × 17 × 41 × 659

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,991,680

Proper Divisor Sum 776,419

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #3215257 ← → #3215273

Radix Representation

Decimal	3215261
Binary	1100010000111110011101 (22 bits)
Octal	0o14207635
Hexadecimal	0x310F9D

Divisor Catalog (16)

1 7 17 41 119 287 659 697 4,613 4,879 11,203 27,019 78,421 189,133 459,323 3,215,261

Collatz Trajectory (177 steps to reach 1)

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

3,215,261 9,645,784 4,822,892 2,411,446 1,205,723 3,617,170 1,808,585 5,425,756 2,712,878 1,356,439 4,069,318 2,034,659 6,103,978 3,051,989 9,155,968 4,577,984 2,288,992 1,144,496 572,248 286,124 143,062 71,531 214,594 107,297 321,892 160,946 80,473 241,420 120,710 60,355 181,066 90,533 271,600 135,800 67,900 33,950 16,975 50,926 25,463 76,390 38,195 114,586 57,293 171,880 85,940 42,970 21,485 64,456 32,228 16,114 8,057 24,172 12,086 6,043 18,130 9,065 27,196 13,598 6,799 20,398

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