3,212,565

3 × 5 × 61 × 3511

3,212,565 factors as 3 × 5 × 61 × 3511. Its 16 positive divisors give a proper-divisor sum of 2,013,291, so this integer is deficient. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 3 × 5 × 61 × 3511

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,225,856

Proper Divisor Sum 2,013,291

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3212551 ← → #3212581

Radix Representation

Decimal	3212565
Binary	1100010000010100010101 (22 bits)
Octal	0o14202425
Hexadecimal	0x310515

Divisor Catalog (16)

1 3 5 15 61 183 305 915 3,511 10,533 17,555 52,665 214,171 642,513 1,070,855 3,212,565

Collatz Trajectory (71 steps to reach 1)

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

3,212,565 9,637,696 4,818,848 2,409,424 1,204,712 602,356 301,178 150,589 451,768 225,884 112,942 56,471 169,414 84,707 254,122 127,061 381,184 190,592 95,296 47,648 23,824 11,912 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17

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