7,304,596

2² × 13 × 140473

7,304,596 factors as 2^2 × 13 × 140473. Its 12 positive divisors give a proper-divisor sum of 6,461,856, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 140473

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,766,452

Proper Divisor Sum 6,461,856

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7304587 ← → #7304597

Radix Representation

Decimal	7304596
Binary	11011110111010110010100 (23 bits)
Octal	0o33672624
Hexadecimal	0x6F7594

Divisor Catalog (12)

1 2 4 13 26 52 140,473 280,946 561,892 1,826,149 3,652,298 7,304,596

Collatz Trajectory (204 steps to reach 1)

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

7,304,596 3,652,298 1,826,149 5,478,448 2,739,224 1,369,612 684,806 342,403 1,027,210 513,605 1,540,816 770,408 385,204 192,602 96,301 288,904 144,452 72,226 36,113 108,340 54,170 27,085 81,256 40,628 20,314 10,157 30,472 15,236 7,618 3,809 11,428 5,714 2,857 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289

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