7,677,945

3² × 5 × 11 × 15511

7,677,945 has the prime decomposition 3^2 × 5 × 11 × 15511. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 11 × 15511

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,519,232

Proper Divisor Sum 6,841,287

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7677937 ← → #7677959

Radix Representation

Decimal	7677945
Binary	11101010010011111111001 (23 bits)
Octal	0o35223771
Hexadecimal	0x7527F9

Divisor Catalog (24)

1 3 5 9 11 15 33 45 55 99 165 495 15,511 46,533 77,555 139,599 170,621 232,665 511,863 697,995 853,105 1,535,589 2,559,315 7,677,945

Collatz Trajectory (217 steps to reach 1)

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

7,677,945 23,033,836 11,516,918 5,758,459 17,275,378 8,637,689 25,913,068 12,956,534 6,478,267 19,434,802 9,717,401 29,152,204 14,576,102 7,288,051 21,864,154 10,932,077 32,796,232 16,398,116 8,199,058 4,099,529 12,298,588 6,149,294 3,074,647 9,223,942 4,611,971 13,835,914 6,917,957 20,753,872 10,376,936 5,188,468 2,594,234 1,297,117 3,891,352 1,945,676 972,838 486,419 1,459,258 729,629 2,188,888 1,094,444 547,222 273,611 820,834 410,417 1,231,252 615,626 307,813 923,440 461,720 230,860 115,430 57,715 173,146 86,573 259,720 129,860 64,930 32,465 97,396 48,698

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