8,728,407

3² × 137 × 7079

For 8,728,407, the 12 positive divisors have a total of 12,701,520. Removing 8,728,407 leaves 3,973,113, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 137 × 7079

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,701,520

Proper Divisor Sum 3,973,113

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8728397 ← → #8728427

Radix Representation

Decimal	8728407
Binary	100001010010111101010111 (24 bits)
Octal	0o41227527
Hexadecimal	0x852F57

Divisor Catalog (12)

1 3 9 137 411 1,233 7,079 21,237 63,711 969,823 2,909,469 8,728,407

Collatz Trajectory (168 steps to reach 1)

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

8,728,407 26,185,222 13,092,611 39,277,834 19,638,917 58,916,752 29,458,376 14,729,188 7,364,594 3,682,297 11,046,892 5,523,446 2,761,723 8,285,170 4,142,585 12,427,756 6,213,878 3,106,939 9,320,818 4,660,409 13,981,228 6,990,614 3,495,307 10,485,922 5,242,961 15,728,884 7,864,442 3,932,221 11,796,664 5,898,332 2,949,166 1,474,583 4,423,750 2,211,875 6,635,626 3,317,813 9,953,440 4,976,720 2,488,360 1,244,180 622,090 311,045 933,136 466,568 233,284 116,642 58,321 174,964 87,482 43,741 131,224 65,612 32,806 16,403 49,210 24,605 73,816 36,908 18,454 9,227

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