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Atlas › Integer Profiles › Node 1,825,936

1,825,936

24 × 72 × 17 × 137
Abundant Even Composite

Starting at 1,825,936, the Collatz iteration reaches 1 after 202 steps. The first transition is 912968; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 17 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 4,389,228
Proper Divisor Sum 2,563,292
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1825933 ← → #1825937

Radix Representation

Decimal 1825936
Binary 110111101110010010000 (21 bits)
Octal 0o6756220
Hexadecimal 0x1BDC90

Divisor Catalog (60)

1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 137 196 238 272 274 392 476 548 784 833 952 959 1,096 1,666 1,904 1,918 2,192 2,329 3,332 3,836 4,658 6,664 6,713 7,672 9,316 13,328 13,426 15,344 16,303 18,632 26,852 32,606 37,264 53,704 65,212 107,408 114,121 130,424 228,242 260,848 456,484 912,968 1,825,936

Collatz Trajectory (202 steps to reach 1)

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

1,825,936 912,968 456,484 228,242 114,121 342,364 171,182 85,591 256,774 128,387 385,162 192,581 577,744 288,872 144,436 72,218 36,109 108,328 54,164 27,082 13,541 40,624 20,312 10,156 5,078 2,539 7,618 3,809 11,428 5,714 2,857 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934

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