7,736,622

2 × 3 × 53 × 24329

7,736,622 factors as 2 × 3 × 53 × 24329. Its 16 positive divisors give a proper-divisor sum of 8,029,218, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 3 × 53 × 24329

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,765,840

Proper Divisor Sum 8,029,218

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7736621 ← → #7736627

Radix Representation

Decimal	7736622
Binary	11101100000110100101110 (23 bits)
Octal	0o35406456
Hexadecimal	0x760D2E

Divisor Catalog (16)

1 2 3 6 53 106 159 318 24,329 48,658 72,987 145,974 1,289,437 2,578,874 3,868,311 7,736,622

Collatz Trajectory (98 steps to reach 1)

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

7,736,622 3,868,311 11,604,934 5,802,467 17,407,402 8,703,701 26,111,104 13,055,552 6,527,776 3,263,888 1,631,944 815,972 407,986 203,993 611,980 305,990 152,995 458,986 229,493 688,480 344,240 172,120 86,060 43,030 21,515 64,546 32,273 96,820 48,410 24,205 72,616 36,308 18,154 9,077 27,232 13,616 6,808 3,404 1,702 851 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367

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