8,408,637

3³ × 29 × 10739

For 8,408,637, the 16 positive divisors have a total of 12,888,000. Removing 8,408,637 leaves 4,479,363, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 29 × 10739

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,888,000

Proper Divisor Sum 4,479,363

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8408623 ← → #8408641

Radix Representation

Decimal	8408637
Binary	100000000100111000111101 (24 bits)
Octal	0o40047075
Hexadecimal	0x804E3D

Divisor Catalog (16)

1 3 9 27 29 87 261 783 10,739 32,217 96,651 289,953 311,431 934,293 2,802,879 8,408,637

Collatz Trajectory (243 steps to reach 1)

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

8,408,637 25,225,912 12,612,956 6,306,478 3,153,239 9,459,718 4,729,859 14,189,578 7,094,789 21,284,368 10,642,184 5,321,092 2,660,546 1,330,273 3,990,820 1,995,410 997,705 2,993,116 1,496,558 748,279 2,244,838 1,122,419 3,367,258 1,683,629 5,050,888 2,525,444 1,262,722 631,361 1,894,084 947,042 473,521 1,420,564 710,282 355,141 1,065,424 532,712 266,356 133,178 66,589 199,768 99,884 49,942 24,971 74,914 37,457 112,372 56,186 28,093 84,280 42,140 21,070 10,535 31,606 15,803 47,410 23,705 71,116 35,558 17,779 53,338

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