λ
Ratio Atlas
Atlas › Integer Profiles › Node 24,675,070
24,675,070
2 × 5 × 7 × 31 × 83 × 137
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 31 × 83 × 137
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 53,415,936
Proper Divisor Sum 28,740,866
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #24675059 ← → #24675073

Radix Representation

Decimal 24675070
Binary 1011110001000001011111110 (25 bits)
Octal 0o136101376
Hexadecimal 0x17882FE

Divisor Catalog (60 of 64)

1 2 5 7 10 14 31 35 62 70 83 137 155 166 217 274 310 415 434 581 685 830 959 1,085 1,162 1,370 1,918 2,170 2,573 2,905 4,247 4,795 5,146 5,810 8,494 9,590 11,371 12,865 18,011 21,235 22,742 25,730 29,729 36,022 42,470 56,855 59,458 79,597 90,055 113,710 148,645 159,194 180,110 297,290 352,501 397,985 705,002 795,970 1,762,505 2,467,507

Collatz Trajectory (167 steps to reach 1)

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

24,675,070 12,337,535 37,012,606 18,506,303 55,518,910 27,759,455 83,278,366 41,639,183 124,917,550 62,458,775 187,376,326 93,688,163 281,064,490 140,532,245 421,596,736 210,798,368 105,399,184 52,699,592 26,349,796 13,174,898 6,587,449 19,762,348 9,881,174 4,940,587 14,821,762 7,410,881 22,232,644 11,116,322 5,558,161 16,674,484 8,337,242 4,168,621 12,505,864 6,252,932 3,126,466 1,563,233 4,689,700 2,344,850 1,172,425 3,517,276 1,758,638 879,319 2,637,958 1,318,979 3,956,938 1,978,469 5,935,408 2,967,704 1,483,852 741,926 370,963 1,112,890 556,445 1,669,336 834,668 417,334 208,667 626,002 313,001 939,004

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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