8,625,688

2³ × 31 × 34781

For 8,625,688, the 16 positive divisors have a total of 16,695,360. Removing 8,625,688 leaves 8,069,672, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 31 × 34781

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,695,360

Proper Divisor Sum 8,069,672

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #8625649 ← → #8625689

Radix Representation

Decimal	8625688
Binary	100000111001111000011000 (24 bits)
Octal	0o40717030
Hexadecimal	0x839E18

Divisor Catalog (16)

1 2 4 8 31 62 124 248 34,781 69,562 139,124 278,248 1,078,211 2,156,422 4,312,844 8,625,688

Collatz Trajectory (212 steps to reach 1)

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

8,625,688 4,312,844 2,156,422 1,078,211 3,234,634 1,617,317 4,851,952 2,425,976 1,212,988 606,494 303,247 909,742 454,871 1,364,614 682,307 2,046,922 1,023,461 3,070,384 1,535,192 767,596 383,798 191,899 575,698 287,849 863,548 431,774 215,887 647,662 323,831 971,494 485,747 1,457,242 728,621 2,185,864 1,092,932 546,466 273,233 819,700 409,850 204,925 614,776 307,388 153,694 76,847 230,542 115,271 345,814 172,907 518,722 259,361 778,084 389,042 194,521 583,564 291,782 145,891 437,674 218,837 656,512 328,256

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