λ
Ratio Atlas
Atlas › Integer Profiles › Node 21,620,175
21,620,175
3 × 52 × 17 × 31 × 547
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 17 × 31 × 547
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 39,140,352
Proper Divisor Sum 17,520,177
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #21620153 ← → #21620189

Radix Representation

Decimal 21620175
Binary 1010010011110010111001111 (25 bits)
Octal 0o122362717
Hexadecimal 0x149E5CF

Divisor Catalog (48)

1 3 5 15 17 25 31 51 75 85 93 155 255 425 465 527 547 775 1,275 1,581 1,641 2,325 2,635 2,735 7,905 8,205 9,299 13,175 13,675 16,957 27,897 39,525 41,025 46,495 50,871 84,785 139,485 232,475 254,355 288,269 423,925 697,425 864,807 1,271,775 1,441,345 4,324,035 7,206,725 21,620,175

Collatz Trajectory (115 steps to reach 1)

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

21,620,175 64,860,526 32,430,263 97,290,790 48,645,395 145,936,186 72,968,093 218,904,280 109,452,140 54,726,070 27,363,035 82,089,106 41,044,553 123,133,660 61,566,830 30,783,415 92,350,246 46,175,123 138,525,370 69,262,685 207,788,056 103,894,028 51,947,014 25,973,507 77,920,522 38,960,261 116,880,784 58,440,392 29,220,196 14,610,098 7,305,049 21,915,148 10,957,574 5,478,787 16,436,362 8,218,181 24,654,544 12,327,272 6,163,636 3,081,818 1,540,909 4,622,728 2,311,364 1,155,682 577,841 1,733,524 866,762 433,381 1,300,144 650,072 325,036 162,518 81,259 243,778 121,889 365,668 182,834 91,417 274,252 137,126

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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