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Atlas › Integer Profiles › Node 1,645,056

1,645,056

29 × 33 × 7 × 17
Abundant Even Composite

1,645,056 factors as 2^9 × 3^3 × 7 × 17. Its 160 positive divisors give a proper-divisor sum of 4,247,424, so this integer is abundant. The Collatz stopping time is 31 steps.

Prime Factor Structure

Factorization String 2^9 × 3^3 × 7 × 17
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 160
Divisor Sum (σ) 5,892,480
Proper Divisor Sum 4,247,424
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1645019 ← → #1645087

Radix Representation

Decimal 1645056
Binary 110010001101000000000 (21 bits)
Octal 0o6215000
Hexadecimal 0x191A00

Divisor Catalog (60 of 160)

1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 51 54 56 63 64 68 72 84 96 102 108 112 119 126 128 136 144 153 168 189 192 204 216 224 238 252 256 272 288 306 336 357 378 384 408 432 448 459

Collatz Trajectory (31 steps to reach 1)

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

1,645,056 822,528 411,264 205,632 102,816 51,408 25,704 12,852 6,426 3,213 9,640 4,820 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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