λ
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Atlas › Integer Profiles › Node 1,438,136

1,438,136

23 × 7 × 61 × 421
Abundant Even Composite

1,438,136 factors as 2^3 × 7 × 61 × 421. Its 32 positive divisors give a proper-divisor sum of 1,701,544, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 61 × 421
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,139,680
Proper Divisor Sum 1,701,544
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1438123 ← → #1438159

Radix Representation

Decimal 1438136
Binary 101011111000110111000 (21 bits)
Octal 0o5370670
Hexadecimal 0x15F1B8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 61 122 244 421 427 488 842 854 1,684 1,708 2,947 3,368 3,416 5,894 11,788 23,576 25,681 51,362 102,724 179,767 205,448 359,534 719,068 1,438,136

Collatz Trajectory (212 steps to reach 1)

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

1,438,136 719,068 359,534 179,767 539,302 269,651 808,954 404,477 1,213,432 606,716 303,358 151,679 455,038 227,519 682,558 341,279 1,023,838 511,919 1,535,758 767,879 2,303,638 1,151,819 3,455,458 1,727,729 5,183,188 2,591,594 1,295,797 3,887,392 1,943,696 971,848 485,924 242,962 121,481 364,444 182,222 91,111 273,334 136,667 410,002 205,001 615,004 307,502 153,751 461,254 230,627 691,882 345,941 1,037,824 518,912 259,456 129,728 64,864 32,432 16,216 8,108 4,054 2,027 6,082 3,041 9,124

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