3,214,724

2² × 19 × 42299

3,214,724 factors as 2^2 × 19 × 42299. Its 12 positive divisors give a proper-divisor sum of 2,707,276, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 42299

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,922,000

Proper Divisor Sum 2,707,276

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3214711 ← → #3214759

Radix Representation

Decimal	3214724
Binary	1100010000110110000100 (22 bits)
Octal	0o14206604
Hexadecimal	0x310D84

Divisor Catalog (12)

1 2 4 19 38 76 42,299 84,598 169,196 803,681 1,607,362 3,214,724

Collatz Trajectory (120 steps to reach 1)

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

3,214,724 1,607,362 803,681 2,411,044 1,205,522 602,761 1,808,284 904,142 452,071 1,356,214 678,107 2,034,322 1,017,161 3,051,484 1,525,742 762,871 2,288,614 1,144,307 3,432,922 1,716,461 5,149,384 2,574,692 1,287,346 643,673 1,931,020 965,510 482,755 1,448,266 724,133 2,172,400 1,086,200 543,100 271,550 135,775 407,326 203,663 610,990 305,495 916,486 458,243 1,374,730 687,365 2,062,096 1,031,048 515,524 257,762 128,881 386,644 193,322 96,661 289,984 144,992 72,496 36,248 18,124 9,062 4,531 13,594 6,797 20,392

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