1,100,736

2⁶ × 3³ × 7² × 13

1,100,736 has digital root 9. The neighboring primes are 1100683 and 1100747; its proper-divisor sum differs from the starting integer by 1,852,368.

Prime Factor Structure

Factorization String 2^6 × 3^3 × 7^2 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 4,053,840

Proper Divisor Sum 2,953,104

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1100683 ← → #1100747

Radix Representation

Decimal	1100736
Binary	100001100101111000000 (21 bits)
Octal	0o4145700
Hexadecimal	0x10CBC0

Divisor Catalog (60 of 168)

1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 54 56 63 64 72 78 84 91 96 98 104 108 112 117 126 144 147 156 168 182 189 192 196 208 216 224 234 252 273 288 294 312 336 351 364

Collatz Trajectory (72 steps to reach 1)

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

1,100,736 550,368 275,184 137,592 68,796 34,398 17,199 51,598 25,799 77,398 38,699 116,098 58,049 174,148 87,074 43,537 130,612 65,306 32,653 97,960 48,980 24,490 12,245 36,736 18,368 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34

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