λ
Ratio Atlas
Atlas › Integer Profiles › Node 94,242,564
94,242,564
22 × 32 × 13 × 349 × 577
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 349 × 577
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 257,730,200
Proper Divisor Sum 163,487,636
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #94242563 ← → #94242587

Radix Representation

Decimal 94242564
Binary 101100111100000011100000100 (27 bits)
Octal 0o547403404
Hexadecimal 0x59E0704

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 349 468 577 698 1,047 1,154 1,396 1,731 2,094 2,308 3,141 3,462 4,188 4,537 5,193 6,282 6,924 7,501 9,074 10,386 12,564 13,611 15,002 18,148 20,772 22,503 27,222 30,004 40,833 45,006 54,444 67,509 81,666 90,012 135,018 163,332 201,373 270,036 402,746 604,119 805,492 1,208,238 1,812,357

Collatz Trajectory (200 steps to reach 1)

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

94,242,564 47,121,282 23,560,641 70,681,924 35,340,962 17,670,481 53,011,444 26,505,722 13,252,861 39,758,584 19,879,292 9,939,646 4,969,823 14,909,470 7,454,735 22,364,206 11,182,103 33,546,310 16,773,155 50,319,466 25,159,733 75,479,200 37,739,600 18,869,800 9,434,900 4,717,450 2,358,725 7,076,176 3,538,088 1,769,044 884,522 442,261 1,326,784 663,392 331,696 165,848 82,924 41,462 20,731 62,194 31,097 93,292 46,646 23,323 69,970 34,985 104,956 52,478 26,239 78,718 39,359 118,078 59,039 177,118 88,559 265,678 132,839 398,518 199,259 597,778

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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