7,342,400

2⁶ × 5² × 13 × 353

7,342,400 factors as 2^6 × 5^2 × 13 × 353. Its 84 positive divisors give a proper-divisor sum of 12,169,372, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^6 × 5^2 × 13 × 353

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 19,511,772

Proper Divisor Sum 12,169,372

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #7342393 ← → #7342409

Radix Representation

Decimal	7342400
Binary	11100000000100101000000 (23 bits)
Octal	0o34004500
Hexadecimal	0x700940

Divisor Catalog (60 of 84)

1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 130 160 200 208 260 320 325 353 400 416 520 650 706 800 832 1,040 1,300 1,412 1,600 1,765 2,080 2,600 2,824 3,530 4,160 4,589 5,200 5,648 7,060 8,825 9,178 10,400 11,296 14,120 17,650 18,356 20,800 22,592 22,945 28,240

Collatz Trajectory (85 steps to reach 1)

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

7,342,400 3,671,200 1,835,600 917,800 458,900 229,450 114,725 344,176 172,088 86,044 43,022 21,511 64,534 32,267 96,802 48,401 145,204 72,602 36,301 108,904 54,452 27,226 13,613 40,840 20,420 10,210 5,105 15,316 7,658 3,829 11,488 5,744 2,872 1,436 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300

← Previous Integer #7,342,399 Browse Full Index Next Integer #7,342,401 →