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Atlas › Integer Profiles › Node 61,301,440

61,301,440

26 × 5 × 23 × 8329
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5 × 23 × 8329
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 152,339,040
Proper Divisor Sum 91,037,600
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #61301419 ← → #61301441

Radix Representation

Decimal 61301440
Binary 11101001110110001011000000 (26 bits)
Octal 0o351661300
Hexadecimal 0x3A762C0

Divisor Catalog (56)

1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1,472 1,840 3,680 7,360 8,329 16,658 33,316 41,645 66,632 83,290 133,264 166,580 191,567 266,528 333,160 383,134 533,056 666,320 766,268 957,835 1,332,640 1,532,536 1,915,670 2,665,280 3,065,072 3,831,340 6,130,144 7,662,680 12,260,288 15,325,360 30,650,720 61,301,440

Collatz Trajectory (114 steps to reach 1)

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

61,301,440 30,650,720 15,325,360 7,662,680 3,831,340 1,915,670 957,835 2,873,506 1,436,753 4,310,260 2,155,130 1,077,565 3,232,696 1,616,348 808,174 404,087 1,212,262 606,131 1,818,394 909,197 2,727,592 1,363,796 681,898 340,949 1,022,848 511,424 255,712 127,856 63,928 31,964 15,982 7,991 23,974 11,987 35,962 17,981 53,944 26,972 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802

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