λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,349,520
61,349,520
24 × 3 × 5 × 107 × 2389
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 107 × 2389
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 192,041,280
Proper Divisor Sum 130,691,760
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #61349513 ← → #61349531

Radix Representation

Decimal 61349520
Binary 11101010000001111010010000 (26 bits)
Octal 0o352017220
Hexadecimal 0x3A81E90

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 214 240 321 428 535 642 856 1,070 1,284 1,605 1,712 2,140 2,389 2,568 3,210 4,280 4,778 5,136 6,420 7,167 8,560 9,556 11,945 12,840 14,334 19,112 23,890 25,680 28,668 35,835 38,224 47,780 57,336 71,670 95,560 114,672 143,340 191,120 255,623 286,680

Collatz Trajectory (326 steps to reach 1)

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

61,349,520 30,674,760 15,337,380 7,668,690 3,834,345 11,503,036 5,751,518 2,875,759 8,627,278 4,313,639 12,940,918 6,470,459 19,411,378 9,705,689 29,117,068 14,558,534 7,279,267 21,837,802 10,918,901 32,756,704 16,378,352 8,189,176 4,094,588 2,047,294 1,023,647 3,070,942 1,535,471 4,606,414 2,303,207 6,909,622 3,454,811 10,364,434 5,182,217 15,546,652 7,773,326 3,886,663 11,659,990 5,829,995 17,489,986 8,744,993 26,234,980 13,117,490 6,558,745 19,676,236 9,838,118 4,919,059 14,757,178 7,378,589 22,135,768 11,067,884 5,533,942 2,766,971 8,300,914 4,150,457 12,451,372 6,225,686 3,112,843 9,338,530 4,669,265 14,007,796

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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