7,696,664

2³ × 251 × 3833

7,696,664 factors as 2^3 × 251 × 3833. Its 16 positive divisors give a proper-divisor sum of 6,795,856, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^3 × 251 × 3833

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,492,520

Proper Divisor Sum 6,795,856

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #7696657 ← → #7696669

Radix Representation

Decimal	7696664
Binary	11101010111000100011000 (23 bits)
Octal	0o35270430
Hexadecimal	0x757118

Divisor Catalog (16)

1 2 4 8 251 502 1,004 2,008 3,833 7,666 15,332 30,664 962,083 1,924,166 3,848,332 7,696,664

Collatz Trajectory (217 steps to reach 1)

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

7,696,664 3,848,332 1,924,166 962,083 2,886,250 1,443,125 4,329,376 2,164,688 1,082,344 541,172 270,586 135,293 405,880 202,940 101,470 50,735 152,206 76,103 228,310 114,155 342,466 171,233 513,700 256,850 128,425 385,276 192,638 96,319 288,958 144,479 433,438 216,719 650,158 325,079 975,238 487,619 1,462,858 731,429 2,194,288 1,097,144 548,572 274,286 137,143 411,430 205,715 617,146 308,573 925,720 462,860 231,430 115,715 347,146 173,573 520,720 260,360 130,180 65,090 32,545 97,636 48,818

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