9,999,808

2⁶ × 7 × 13 × 17 × 101

9,999,808 factors as 2^6 × 7 × 13 × 17 × 101. Its 112 positive divisors give a proper-divisor sum of 16,115,456, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 13 × 17 × 101

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 26,115,264

Proper Divisor Sum 16,115,456

Digit Sum / Digital Root 52 (Root: 7)

Adjacent Primes #9999761 ← → #9999823

Radix Representation

Decimal	9999808
Binary	100110001001010111000000 (24 bits)
Octal	0o46112700
Hexadecimal	0x9895C0

Divisor Catalog (60 of 112)

1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 101 104 112 119 136 182 202 208 221 224 238 272 364 404 416 442 448 476 544 707 728 808 832 884 952 1,088 1,313 1,414 1,456 1,547 1,616 1,717 1,768 1,904 2,626 2,828 2,912 3,094 3,232 3,434 3,536 3,808

Collatz Trajectory (176 steps to reach 1)

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

9,999,808 4,999,904 2,499,952 1,249,976 624,988 312,494 156,247 468,742 234,371 703,114 351,557 1,054,672 527,336 263,668 131,834 65,917 197,752 98,876 49,438 24,719 74,158 37,079 111,238 55,619 166,858 83,429 250,288 125,144 62,572 31,286 15,643 46,930 23,465 70,396 35,198 17,599 52,798 26,399 79,198 39,599 118,798 59,399 178,198 89,099 267,298 133,649 400,948 200,474 100,237 300,712 150,356 75,178 37,589 112,768 56,384 28,192 14,096 7,048 3,524 1,762

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