λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,113,296
48,113,296
24 × 73 × 11 × 797
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 7^3 × 11 × 797
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 118,742,400
Proper Divisor Sum 70,629,104
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #48113293 ← → #48113297

Radix Representation

Decimal 48113296
Binary 10110111100010011010010000 (26 bits)
Octal 0o267423220
Hexadecimal 0x2DE2690

Divisor Catalog (60 of 80)

1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 343 392 539 616 686 784 797 1,078 1,232 1,372 1,594 2,156 2,744 3,188 3,773 4,312 5,488 5,579 6,376 7,546 8,624 8,767 11,158 12,752 15,092 17,534 22,316 30,184 35,068 39,053 44,632 60,368 61,369 70,136 78,106 89,264 122,738 140,272 156,212

Collatz Trajectory (261 steps to reach 1)

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

48,113,296 24,056,648 12,028,324 6,014,162 3,007,081 9,021,244 4,510,622 2,255,311 6,765,934 3,382,967 10,148,902 5,074,451 15,223,354 7,611,677 22,835,032 11,417,516 5,708,758 2,854,379 8,563,138 4,281,569 12,844,708 6,422,354 3,211,177 9,633,532 4,816,766 2,408,383 7,225,150 3,612,575 10,837,726 5,418,863 16,256,590 8,128,295 24,384,886 12,192,443 36,577,330 18,288,665 54,865,996 27,432,998 13,716,499 41,149,498 20,574,749 61,724,248 30,862,124 15,431,062 7,715,531 23,146,594 11,573,297 34,719,892 17,359,946 8,679,973 26,039,920 13,019,960 6,509,980 3,254,990 1,627,495 4,882,486 2,441,243 7,323,730 3,661,865 10,985,596

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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