λ
Ratio Atlas
Atlas › Integer Profiles › Node 25,758,250

25,758,250

2 × 53 × 7 × 41 × 359
Abundant Even Composite

25,758,250 factors as 2 × 5^3 × 7 × 41 × 359. Its 64 positive divisors give a proper-divisor sum of 30,851,030, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2 × 5^3 × 7 × 41 × 359
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 56,609,280
Proper Divisor Sum 30,851,030
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #25758233 ← → #25758277

Radix Representation

Decimal 25758250
Binary 1100010010000101000101010 (25 bits)
Octal 0o142205052
Hexadecimal 0x1890A2A

Divisor Catalog (60 of 64)

1 2 5 7 10 14 25 35 41 50 70 82 125 175 205 250 287 350 359 410 574 718 875 1,025 1,435 1,750 1,795 2,050 2,513 2,870 3,590 5,026 5,125 7,175 8,975 10,250 12,565 14,350 14,719 17,950 25,130 29,438 35,875 44,875 62,825 71,750 73,595 89,750 103,033 125,650 147,190 206,066 314,125 367,975 515,165 628,250 735,950 1,030,330 1,839,875 2,575,825

Collatz Trajectory (118 steps to reach 1)

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

25,758,250 12,879,125 38,637,376 19,318,688 9,659,344 4,829,672 2,414,836 1,207,418 603,709 1,811,128 905,564 452,782 226,391 679,174 339,587 1,018,762 509,381 1,528,144 764,072 382,036 191,018 95,509 286,528 143,264 71,632 35,816 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #25,758,249 Browse Full Index Next Integer #25,758,251 →