26,162,010

2 × 3² × 5 × 7 × 131 × 317

26,162,010 factors as 2 × 3^2 × 5 × 7 × 131 × 317. Its 96 positive divisors give a proper-divisor sum of 52,417,062, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 131 × 317

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 78,579,072

Proper Divisor Sum 52,417,062

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #26161999 ← → #26162011

Radix Representation

Decimal	26162010
Binary	1100011110011001101011010 (25 bits)
Octal	0o143631532
Hexadecimal	0x18F335A

Divisor Catalog (60 of 96)

1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 131 210 262 315 317 393 630 634 655 786 917 951 1,179 1,310 1,585 1,834 1,902 1,965 2,219 2,358 2,751 2,853 3,170 3,930 4,438 4,585 4,755 5,502 5,706 5,895 6,657 8,253 9,170 9,510 11,095 11,790 13,314 13,755 14,265

Collatz Trajectory (92 steps to reach 1)

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

26,162,010 13,081,005 39,243,016 19,621,508 9,810,754 4,905,377 14,716,132 7,358,066 3,679,033 11,037,100 5,518,550 2,759,275 8,277,826 4,138,913 12,416,740 6,208,370 3,104,185 9,312,556 4,656,278 2,328,139 6,984,418 3,492,209 10,476,628 5,238,314 2,619,157 7,857,472 3,928,736 1,964,368 982,184 491,092 245,546 122,773 368,320 184,160 92,080 46,040 23,020 11,510 5,755 17,266 8,633 25,900 12,950 6,475 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150

← Previous Integer #26,162,009 Browse Full Index Next Integer #26,162,011 →