λ
Ratio Atlas
Atlas › Integer Profiles › Node 97,487,248
97,487,248
24 × 17 × 23 × 15583
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 17 × 23 × 15583
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 208,700,928
Proper Divisor Sum 111,213,680
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #97487239 ← → #97487249

Radix Representation

Decimal 97487248
Binary 101110011111000100110010000 (27 bits)
Octal 0o563704620
Hexadecimal 0x5CF8990

Divisor Catalog (40)

1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 782 1,564 3,128 6,256 15,583 31,166 62,332 124,664 249,328 264,911 358,409 529,822 716,818 1,059,644 1,433,636 2,119,288 2,867,272 4,238,576 5,734,544 6,092,953 12,185,906 24,371,812 48,743,624 97,487,248

Collatz Trajectory (231 steps to reach 1)

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

97,487,248 48,743,624 24,371,812 12,185,906 6,092,953 18,278,860 9,139,430 4,569,715 13,709,146 6,854,573 20,563,720 10,281,860 5,140,930 2,570,465 7,711,396 3,855,698 1,927,849 5,783,548 2,891,774 1,445,887 4,337,662 2,168,831 6,506,494 3,253,247 9,759,742 4,879,871 14,639,614 7,319,807 21,959,422 10,979,711 32,939,134 16,469,567 49,408,702 24,704,351 74,113,054 37,056,527 111,169,582 55,584,791 166,754,374 83,377,187 250,131,562 125,065,781 375,197,344 187,598,672 93,799,336 46,899,668 23,449,834 11,724,917 35,174,752 17,587,376 8,793,688 4,396,844 2,198,422 1,099,211 3,297,634 1,648,817 4,946,452 2,473,226 1,236,613 3,709,840

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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