λ
Ratio Atlas
Atlas › Integer Profiles › Node 404,976
404,976
24 × 3 × 11 × 13 × 59
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 11 × 13 × 59
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 1,249,920
Proper Divisor Sum 844,944
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #404969 ← → #404977

Radix Representation

Decimal 404976
Binary 1100010110111110000 (19 bits)
Octal 0o1426760
Hexadecimal 0x62DF0

Divisor Catalog (60 of 80)

1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 59 66 78 88 104 118 132 143 156 176 177 208 236 264 286 312 354 429 472 528 572 624 649 708 767 858 944 1,144 1,298 1,416 1,534 1,716 1,947 2,288 2,301 2,596 2,832 3,068 3,432 3,894 4,602 5,192

Collatz Trajectory (60 steps to reach 1)

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

404,976 202,488 101,244 50,622 25,311 75,934 37,967 113,902 56,951 170,854 85,427 256,282 128,141 384,424 192,212 96,106 48,053 144,160 72,080 36,040 18,020 9,010 4,505 13,516 6,758 3,379 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2

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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