3,214,412

2² × 37² × 587

3,214,412 factors as 2^2 × 37^2 × 587. Its 18 positive divisors give a proper-divisor sum of 2,576,800, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^2 × 37^2 × 587

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 5,791,212

Proper Divisor Sum 2,576,800

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #3214399 ← → #3214417

Radix Representation

Decimal	3214412
Binary	1100010000110001001100 (22 bits)
Octal	0o14206114
Hexadecimal	0x310C4C

Divisor Catalog (18)

1 2 4 37 74 148 587 1,174 1,369 2,348 2,738 5,476 21,719 43,438 86,876 803,603 1,607,206 3,214,412

Collatz Trajectory (120 steps to reach 1)

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

3,214,412 1,607,206 803,603 2,410,810 1,205,405 3,616,216 1,808,108 904,054 452,027 1,356,082 678,041 2,034,124 1,017,062 508,531 1,525,594 762,797 2,288,392 1,144,196 572,098 286,049 858,148 429,074 214,537 643,612 321,806 160,903 482,710 241,355 724,066 362,033 1,086,100 543,050 271,525 814,576 407,288 203,644 101,822 50,911 152,734 76,367 229,102 114,551 343,654 171,827 515,482 257,741 773,224 386,612 193,306 96,653 289,960 144,980 72,490 36,245 108,736 54,368 27,184 13,592 6,796 3,398

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