λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,319,004
61,319,004
22 × 3 × 19 × 131 × 2053
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 131 × 2053
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 151,831,680
Proper Divisor Sum 90,512,676
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #61318997 ← → #61319053

Radix Representation

Decimal 61319004
Binary 11101001111010011101011100 (26 bits)
Octal 0o351723534
Hexadecimal 0x3A7A75C

Divisor Catalog (48)

1 2 3 4 6 12 19 38 57 76 114 131 228 262 393 524 786 1,572 2,053 2,489 4,106 4,978 6,159 7,467 8,212 9,956 12,318 14,934 24,636 29,868 39,007 78,014 117,021 156,028 234,042 268,943 468,084 537,886 806,829 1,075,772 1,613,658 3,227,316 5,109,917 10,219,834 15,329,751 20,439,668 30,659,502 61,319,004

Collatz Trajectory (132 steps to reach 1)

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

61,319,004 30,659,502 15,329,751 45,989,254 22,994,627 68,983,882 34,491,941 103,475,824 51,737,912 25,868,956 12,934,478 6,467,239 19,401,718 9,700,859 29,102,578 14,551,289 43,653,868 21,826,934 10,913,467 32,740,402 16,370,201 49,110,604 24,555,302 12,277,651 36,832,954 18,416,477 55,249,432 27,624,716 13,812,358 6,906,179 20,718,538 10,359,269 31,077,808 15,538,904 7,769,452 3,884,726 1,942,363 5,827,090 2,913,545 8,740,636 4,370,318 2,185,159 6,555,478 3,277,739 9,833,218 4,916,609 14,749,828 7,374,914 3,687,457 11,062,372 5,531,186 2,765,593 8,296,780 4,148,390 2,074,195 6,222,586 3,111,293 9,333,880 4,666,940 2,333,470

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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