λ
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Atlas › Integer Profiles › Node 36,960,630

36,960,630

2 × 3 × 5 × 7 × 73 × 2411
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 73 × 2411
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 102,809,088
Proper Divisor Sum 65,848,458
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #36960613 ← → #36960631

Radix Representation

Decimal 36960630
Binary 10001100111111100101110110 (26 bits)
Octal 0o214774566
Hexadecimal 0x233F976

Divisor Catalog (60 of 64)

1 2 3 5 6 7 10 14 15 21 30 35 42 70 73 105 146 210 219 365 438 511 730 1,022 1,095 1,533 2,190 2,411 2,555 3,066 4,822 5,110 7,233 7,665 12,055 14,466 15,330 16,877 24,110 33,754 36,165 50,631 72,330 84,385 101,262 168,770 176,003 253,155 352,006 506,310 528,009 880,015 1,056,018 1,232,021 1,760,030 2,464,042 2,640,045 3,696,063 5,280,090 6,160,105

Collatz Trajectory (170 steps to reach 1)

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

36,960,630 18,480,315 55,440,946 27,720,473 83,161,420 41,580,710 20,790,355 62,371,066 31,185,533 93,556,600 46,778,300 23,389,150 11,694,575 35,083,726 17,541,863 52,625,590 26,312,795 78,938,386 39,469,193 118,407,580 59,203,790 29,601,895 88,805,686 44,402,843 133,208,530 66,604,265 199,812,796 99,906,398 49,953,199 149,859,598 74,929,799 224,789,398 112,394,699 337,184,098 168,592,049 505,776,148 252,888,074 126,444,037 379,332,112 189,666,056 94,833,028 47,416,514 23,708,257 71,124,772 35,562,386 17,781,193 53,343,580 26,671,790 13,335,895 40,007,686 20,003,843 60,011,530 30,005,765 90,017,296 45,008,648 22,504,324 11,252,162 5,626,081 16,878,244 8,439,122

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