3,213,061

47 × 137 × 499

Starting at 3,213,061, the Collatz iteration reaches 1 after 120 steps. The first transition is 9639184; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 47 × 137 × 499

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,312,000

Proper Divisor Sum 98,939

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #3213059 ← → #3213073

Radix Representation

Decimal	3213061
Binary	1100010000011100000101 (22 bits)
Octal	0o14203405
Hexadecimal	0x310705

Divisor Catalog (8)

1 47 137 499 6,439 23,453 68,363 3,213,061

Collatz Trajectory (120 steps to reach 1)

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

3,213,061 9,639,184 4,819,592 2,409,796 1,204,898 602,449 1,807,348 903,674 451,837 1,355,512 677,756 338,878 169,439 508,318 254,159 762,478 381,239 1,143,718 571,859 1,715,578 857,789 2,573,368 1,286,684 643,342 321,671 965,014 482,507 1,447,522 723,761 2,171,284 1,085,642 542,821 1,628,464 814,232 407,116 203,558 101,779 305,338 152,669 458,008 229,004 114,502 57,251 171,754 85,877 257,632 128,816 64,408 32,204 16,102 8,051 24,154 12,077 36,232 18,116 9,058 4,529 13,588 6,794 3,397

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