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Atlas › Integer Profiles › Node 1,261,504

1,261,504

26 × 23 × 857
Abundant Even Composite

1,261,504 factors as 2^6 × 23 × 857. Its 28 positive divisors give a proper-divisor sum of 1,353,680, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^6 × 23 × 857
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 2,615,184
Proper Divisor Sum 1,353,680
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1261489 ← → #1261523

Radix Representation

Decimal 1261504
Binary 100110011111111000000 (21 bits)
Octal 0o4637700
Hexadecimal 0x133FC0

Divisor Catalog (28)

1 2 4 8 16 23 32 46 64 92 184 368 736 857 1,472 1,714 3,428 6,856 13,712 19,711 27,424 39,422 54,848 78,844 157,688 315,376 630,752 1,261,504

Collatz Trajectory (103 steps to reach 1)

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

1,261,504 630,752 315,376 157,688 78,844 39,422 19,711 59,134 29,567 88,702 44,351 133,054 66,527 199,582 99,791 299,374 149,687 449,062 224,531 673,594 336,797 1,010,392 505,196 252,598 126,299 378,898 189,449 568,348 284,174 142,087 426,262 213,131 639,394 319,697 959,092 479,546 239,773 719,320 359,660 179,830 89,915 269,746 134,873 404,620 202,310 101,155 303,466 151,733 455,200 227,600 113,800 56,900 28,450 14,225 42,676 21,338 10,669 32,008 16,004 8,002

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