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Atlas › Integer Profiles › Node 1,365,264

1,365,264

24 × 32 × 19 × 499
Abundant Even Composite

1,365,264 factors as 2^4 × 3^2 × 19 × 499. Its 60 positive divisors give a proper-divisor sum of 2,664,736, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 19 × 499
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 4,030,000
Proper Divisor Sum 2,664,736
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1365251 ← → #1365269

Radix Representation

Decimal 1365264
Binary 101001101010100010000 (21 bits)
Octal 0o5152420
Hexadecimal 0x14D510

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 499 684 912 998 1,368 1,497 1,996 2,736 2,994 3,992 4,491 5,988 7,984 8,982 9,481 11,976 17,964 18,962 23,952 28,443 35,928 37,924 56,886 71,856 75,848 85,329 113,772 151,696 170,658 227,544 341,316 455,088 682,632 1,365,264

Collatz Trajectory (106 steps to reach 1)

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

1,365,264 682,632 341,316 170,658 85,329 255,988 127,994 63,997 191,992 95,996 47,998 23,999 71,998 35,999 107,998 53,999 161,998 80,999 242,998 121,499 364,498 182,249 546,748 273,374 136,687 410,062 205,031 615,094 307,547 922,642 461,321 1,383,964 691,982 345,991 1,037,974 518,987 1,556,962 778,481 2,335,444 1,167,722 583,861 1,751,584 875,792 437,896 218,948 109,474 54,737 164,212 82,106 41,053 123,160 61,580 30,790 15,395 46,186 23,093 69,280 34,640 17,320 8,660

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