7,716,304

2⁴ × 419 × 1151

7,716,304 factors as 2^4 × 419 × 1151. Its 20 positive divisors give a proper-divisor sum of 7,282,736, so this integer is deficient. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^4 × 419 × 1151

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 14,999,040

Proper Divisor Sum 7,282,736

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7716281 ← → #7716329

Radix Representation

Decimal	7716304
Binary	11101011011110111010000 (23 bits)
Octal	0o35336720
Hexadecimal	0x75BDD0

Divisor Catalog (20)

1 2 4 8 16 419 838 1,151 1,676 2,302 3,352 4,604 6,704 9,208 18,416 482,269 964,538 1,929,076 3,858,152 7,716,304

Collatz Trajectory (72 steps to reach 1)

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

7,716,304 3,858,152 1,929,076 964,538 482,269 1,446,808 723,404 361,702 180,851 542,554 271,277 813,832 406,916 203,458 101,729 305,188 152,594 76,297 228,892 114,446 57,223 171,670 85,835 257,506 128,753 386,260 193,130 96,565 289,696 144,848 72,424 36,212 18,106 9,053 27,160 13,580 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227

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