λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,420,168
48,420,168
23 × 3 × 283 × 7129
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 283 × 7129
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 121,495,200
Proper Divisor Sum 73,075,032
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #48420167 ← → #48420181

Radix Representation

Decimal 48420168
Binary 10111000101101010101001000 (26 bits)
Octal 0o270552510
Hexadecimal 0x2E2D548

Divisor Catalog (32)

1 2 3 4 6 8 12 24 283 566 849 1,132 1,698 2,264 3,396 6,792 7,129 14,258 21,387 28,516 42,774 57,032 85,548 171,096 2,017,507 4,035,014 6,052,521 8,070,028 12,105,042 16,140,056 24,210,084 48,420,168

Collatz Trajectory (142 steps to reach 1)

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

48,420,168 24,210,084 12,105,042 6,052,521 18,157,564 9,078,782 4,539,391 13,618,174 6,809,087 20,427,262 10,213,631 30,640,894 15,320,447 45,961,342 22,980,671 68,942,014 34,471,007 103,413,022 51,706,511 155,119,534 77,559,767 232,679,302 116,339,651 349,018,954 174,509,477 523,528,432 261,764,216 130,882,108 65,441,054 32,720,527 98,161,582 49,080,791 147,242,374 73,621,187 220,863,562 110,431,781 331,295,344 165,647,672 82,823,836 41,411,918 20,705,959 62,117,878 31,058,939 93,176,818 46,588,409 139,765,228 69,882,614 34,941,307 104,823,922 52,411,961 157,235,884 78,617,942 39,308,971 117,926,914 58,963,457 176,890,372 88,445,186 44,222,593 132,667,780 66,333,890

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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