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Ratio Atlas
Atlas › Integer Profiles › Node 402,976
402,976
25 × 72 × 257
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 7^2 × 257
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 926,478
Proper Divisor Sum 523,502
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #402949 ← → #402991

Radix Representation

Decimal 402976
Binary 1100010011000100000 (19 bits)
Octal 0o1423040
Hexadecimal 0x62620

Divisor Catalog (36)

1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 257 392 514 784 1,028 1,568 1,799 2,056 3,598 4,112 7,196 8,224 12,593 14,392 25,186 28,784 50,372 57,568 100,744 201,488 402,976

Collatz Trajectory (68 steps to reach 1)

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

402,976 201,488 100,744 50,372 25,186 12,593 37,780 18,890 9,445 28,336 14,168 7,084 3,542 1,771 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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