λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,375,480
61,375,480
23 × 5 × 73 × 21019
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 73 × 21019
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 139,993,200
Proper Divisor Sum 78,617,720
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #61375463 ← → #61375481

Radix Representation

Decimal 61375480
Binary 11101010001000001111111000 (26 bits)
Octal 0o352101770
Hexadecimal 0x3A883F8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 73 146 292 365 584 730 1,460 2,920 21,019 42,038 84,076 105,095 168,152 210,190 420,380 840,760 1,534,387 3,068,774 6,137,548 7,671,935 12,275,096 15,343,870 30,687,740 61,375,480

Collatz Trajectory (127 steps to reach 1)

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

61,375,480 30,687,740 15,343,870 7,671,935 23,015,806 11,507,903 34,523,710 17,261,855 51,785,566 25,892,783 77,678,350 38,839,175 116,517,526 58,258,763 174,776,290 87,388,145 262,164,436 131,082,218 65,541,109 196,623,328 98,311,664 49,155,832 24,577,916 12,288,958 6,144,479 18,433,438 9,216,719 27,650,158 13,825,079 41,475,238 20,737,619 62,212,858 31,106,429 93,319,288 46,659,644 23,329,822 11,664,911 34,994,734 17,497,367 52,492,102 26,246,051 78,738,154 39,369,077 118,107,232 59,053,616 29,526,808 14,763,404 7,381,702 3,690,851 11,072,554 5,536,277 16,608,832 8,304,416 4,152,208 2,076,104 1,038,052 519,026 259,513 778,540 389,270

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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