λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,968,952
36,968,952
23 × 3 × 73 × 21101
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 73 × 21101
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 93,692,880
Proper Divisor Sum 56,723,928
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #36968951 ← → #36968959

Radix Representation

Decimal 36968952
Binary 10001101000001100111111000 (26 bits)
Octal 0o215014770
Hexadecimal 0x23419F8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 73 146 219 292 438 584 876 1,752 21,101 42,202 63,303 84,404 126,606 168,808 253,212 506,424 1,540,373 3,080,746 4,621,119 6,161,492 9,242,238 12,322,984 18,484,476 36,968,952

Collatz Trajectory (227 steps to reach 1)

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

36,968,952 18,484,476 9,242,238 4,621,119 13,863,358 6,931,679 20,795,038 10,397,519 31,192,558 15,596,279 46,788,838 23,394,419 70,183,258 35,091,629 105,274,888 52,637,444 26,318,722 13,159,361 39,478,084 19,739,042 9,869,521 29,608,564 14,804,282 7,402,141 22,206,424 11,103,212 5,551,606 2,775,803 8,327,410 4,163,705 12,491,116 6,245,558 3,122,779 9,368,338 4,684,169 14,052,508 7,026,254 3,513,127 10,539,382 5,269,691 15,809,074 7,904,537 23,713,612 11,856,806 5,928,403 17,785,210 8,892,605 26,677,816 13,338,908 6,669,454 3,334,727 10,004,182 5,002,091 15,006,274 7,503,137 22,509,412 11,254,706 5,627,353 16,882,060 8,441,030

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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