8,746,731

3³ × 7 × 46279

8,746,731 has digital root 9. The neighboring primes are 8746723 and 8746733; its proper-divisor sum differs from the starting integer by -2,683,862.

Prime Factor Structure

Factorization String 3^3 × 7 × 46279

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,809,600

Proper Divisor Sum 6,062,869

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8746723 ← → #8746733

Radix Representation

Decimal	8746731
Binary	100001010111011011101011 (24 bits)
Octal	0o41273353
Hexadecimal	0x8576EB

Divisor Catalog (16)

1 3 7 9 21 27 63 189 46,279 138,837 323,953 416,511 971,859 1,249,533 2,915,577 8,746,731

Collatz Trajectory (93 steps to reach 1)

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

8,746,731 26,240,194 13,120,097 39,360,292 19,680,146 9,840,073 29,520,220 14,760,110 7,380,055 22,140,166 11,070,083 33,210,250 16,605,125 49,815,376 24,907,688 12,453,844 6,226,922 3,113,461 9,340,384 4,670,192 2,335,096 1,167,548 583,774 291,887 875,662 437,831 1,313,494 656,747 1,970,242 985,121 2,955,364 1,477,682 738,841 2,216,524 1,108,262 554,131 1,662,394 831,197 2,493,592 1,246,796 623,398 311,699 935,098 467,549 1,402,648 701,324 350,662 175,331 525,994 262,997 788,992 394,496 197,248 98,624 49,312 24,656 12,328 6,164 3,082 1,541

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