λ
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Atlas › Integer Profiles › Node 36,960,440

36,960,440

23 × 5 × 11 × 167 × 503
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 167 × 503
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 91,445,760
Proper Divisor Sum 54,485,320
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #36960439 ← → #36960461

Radix Representation

Decimal 36960440
Binary 10001100111111100010111000 (26 bits)
Octal 0o214774270
Hexadecimal 0x233F8B8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 11 20 22 40 44 55 88 110 167 220 334 440 503 668 835 1,006 1,336 1,670 1,837 2,012 2,515 3,340 3,674 4,024 5,030 5,533 6,680 7,348 9,185 10,060 11,066 14,696 18,370 20,120 22,132 27,665 36,740 44,264 55,330 73,480 84,001 110,660 168,002 221,320 336,004 420,005 672,008 840,010 924,011 1,680,020 1,848,022 3,360,040 3,696,044 4,620,055

Collatz Trajectory (188 steps to reach 1)

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

36,960,440 18,480,220 9,240,110 4,620,055 13,860,166 6,930,083 20,790,250 10,395,125 31,185,376 15,592,688 7,796,344 3,898,172 1,949,086 974,543 2,923,630 1,461,815 4,385,446 2,192,723 6,578,170 3,289,085 9,867,256 4,933,628 2,466,814 1,233,407 3,700,222 1,850,111 5,550,334 2,775,167 8,325,502 4,162,751 12,488,254 6,244,127 18,732,382 9,366,191 28,098,574 14,049,287 42,147,862 21,073,931 63,221,794 31,610,897 94,832,692 47,416,346 23,708,173 71,124,520 35,562,260 17,781,130 8,890,565 26,671,696 13,335,848 6,667,924 3,333,962 1,666,981 5,000,944 2,500,472 1,250,236 625,118 312,559 937,678 468,839 1,406,518

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