9,687,200

2⁵ × 5² × 12109

9,687,200 has digital root 5. The neighboring primes are 9687187 and 9687211; its proper-divisor sum differs from the starting integer by 4,276,430.

Prime Factor Structure

Factorization String 2^5 × 5^2 × 12109

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 23,650,830

Proper Divisor Sum 13,963,630

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #9687187 ← → #9687211

Radix Representation

Decimal	9687200
Binary	100100111101000010100000 (24 bits)
Octal	0o44750240
Hexadecimal	0x93D0A0

Divisor Catalog (36)

1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 12,109 24,218 48,436 60,545 96,872 121,090 193,744 242,180 302,725 387,488 484,360 605,450 968,720 1,210,900 1,937,440 2,421,800 4,843,600 9,687,200

Collatz Trajectory (70 steps to reach 1)

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

9,687,200 4,843,600 2,421,800 1,210,900 605,450 302,725 908,176 454,088 227,044 113,522 56,761 170,284 85,142 42,571 127,714 63,857 191,572 95,786 47,893 143,680 71,840 35,920 17,960 8,980 4,490 2,245 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

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