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Atlas › Integer Profiles › Node 26,073,164

26,073,164

22 × 13 × 257 × 1951
Deficient Even Composite

26,073,164 factors as 2^2 × 13 × 257 × 1951. Its 24 positive divisors give a proper-divisor sum of 23,281,204, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 257 × 1951
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 49,354,368
Proper Divisor Sum 23,281,204
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #26073161 ← → #26073167

Radix Representation

Decimal 26073164
Binary 1100011011101100001001100 (25 bits)
Octal 0o143354114
Hexadecimal 0x18DD84C

Divisor Catalog (24)

1 2 4 13 26 52 257 514 1,028 1,951 3,341 3,902 6,682 7,804 13,364 25,363 50,726 101,452 501,407 1,002,814 2,005,628 6,518,291 13,036,582 26,073,164

Collatz Trajectory (211 steps to reach 1)

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

26,073,164 13,036,582 6,518,291 19,554,874 9,777,437 29,332,312 14,666,156 7,333,078 3,666,539 10,999,618 5,499,809 16,499,428 8,249,714 4,124,857 12,374,572 6,187,286 3,093,643 9,280,930 4,640,465 13,921,396 6,960,698 3,480,349 10,441,048 5,220,524 2,610,262 1,305,131 3,915,394 1,957,697 5,873,092 2,936,546 1,468,273 4,404,820 2,202,410 1,101,205 3,303,616 1,651,808 825,904 412,952 206,476 103,238 51,619 154,858 77,429 232,288 116,144 58,072 29,036 14,518 7,259 21,778 10,889 32,668 16,334 8,167 24,502 12,251 36,754 18,377 55,132 27,566

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