7,340,820

2² × 3 × 5 × 122347

7,340,820 factors as 2^2 × 3 × 5 × 122347. Its 24 positive divisors give a proper-divisor sum of 13,213,644, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 122347

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 20,554,464

Proper Divisor Sum 13,213,644

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7340813 ← → #7340833

Radix Representation

Decimal	7340820
Binary	11100000000001100010100 (23 bits)
Octal	0o34001424
Hexadecimal	0x700314

Divisor Catalog (24)

Collatz Trajectory (111 steps to reach 1)

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

7,340,820 3,670,410 1,835,205 5,505,616 2,752,808 1,376,404 688,202 344,101 1,032,304 516,152 258,076 129,038 64,519 193,558 96,779 290,338 145,169 435,508 217,754 108,877 326,632 163,316 81,658 40,829 122,488 61,244 30,622 15,311 45,934 22,967 68,902 34,451 103,354 51,677 155,032 77,516 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774

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