λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,308,963
7,308,963
32 × 17 × 23 × 31 × 67
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 17 × 23 × 31 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,220,416
Proper Divisor Sum 4,911,453
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7308949 ← → #7308967

Radix Representation

Decimal 7308963
Binary 11011111000011010100011 (23 bits)
Octal 0o33703243
Hexadecimal 0x6F86A3

Divisor Catalog (48)

1 3 9 17 23 31 51 67 69 93 153 201 207 279 391 527 603 713 1,139 1,173 1,541 1,581 2,077 2,139 3,417 3,519 4,623 4,743 6,231 6,417 10,251 12,121 13,869 18,693 26,197 35,309 36,363 47,771 78,591 105,927 109,089 143,313 235,773 317,781 429,939 812,107 2,436,321 7,308,963

Collatz Trajectory (116 steps to reach 1)

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

7,308,963 21,926,890 10,963,445 32,890,336 16,445,168 8,222,584 4,111,292 2,055,646 1,027,823 3,083,470 1,541,735 4,625,206 2,312,603 6,937,810 3,468,905 10,406,716 5,203,358 2,601,679 7,805,038 3,902,519 11,707,558 5,853,779 17,561,338 8,780,669 26,342,008 13,171,004 6,585,502 3,292,751 9,878,254 4,939,127 14,817,382 7,408,691 22,226,074 11,113,037 33,339,112 16,669,556 8,334,778 4,167,389 12,502,168 6,251,084 3,125,542 1,562,771 4,688,314 2,344,157 7,032,472 3,516,236 1,758,118 879,059 2,637,178 1,318,589 3,955,768 1,977,884 988,942 494,471 1,483,414 741,707 2,225,122 1,112,561 3,337,684 1,668,842

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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