7,677,873

3² × 7 × 47 × 2593

7,677,873 has digital root 9. The neighboring primes are 7677823 and 7677877; its proper-divisor sum differs from the starting integer by -2,406,498.

Prime Factor Structure

Factorization String 3^2 × 7 × 47 × 2593

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,949,248

Proper Divisor Sum 5,271,375

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7677823 ← → #7677877

Radix Representation

Decimal	7677873
Binary	11101010010011110110001 (23 bits)
Octal	0o35223661
Hexadecimal	0x7527B1

Divisor Catalog (24)

1 3 7 9 21 47 63 141 329 423 987 2,593 2,961 7,779 18,151 23,337 54,453 121,871 163,359 365,613 853,097 1,096,839 2,559,291 7,677,873

Collatz Trajectory (173 steps to reach 1)

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

7,677,873 23,033,620 11,516,810 5,758,405 17,275,216 8,637,608 4,318,804 2,159,402 1,079,701 3,239,104 1,619,552 809,776 404,888 202,444 101,222 50,611 151,834 75,917 227,752 113,876 56,938 28,469 85,408 42,704 21,352 10,676 5,338 2,669 8,008 4,004 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134

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