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Atlas › Integer Profiles › Node 25,751,940

25,751,940

22 × 3 × 5 × 17 × 25247
Abundant Even Composite

25,751,940 factors as 2^2 × 3 × 5 × 17 × 25247. Its 48 positive divisors give a proper-divisor sum of 50,598,012, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 17 × 25247
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 76,349,952
Proper Divisor Sum 50,598,012
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #25751939 ← → #25751941

Radix Representation

Decimal 25751940
Binary 1100010001111000110000100 (25 bits)
Octal 0o142170604
Hexadecimal 0x188F184

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1,020 25,247 50,494 75,741 100,988 126,235 151,482 252,470 302,964 378,705 429,199 504,940 757,410 858,398 1,287,597 1,514,820 1,716,796 2,145,995 2,575,194 4,291,990 5,150,388 6,437,985 8,583,980 12,875,970 25,751,940

Collatz Trajectory (149 steps to reach 1)

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

25,751,940 12,875,970 6,437,985 19,313,956 9,656,978 4,828,489 14,485,468 7,242,734 3,621,367 10,864,102 5,432,051 16,296,154 8,148,077 24,444,232 12,222,116 6,111,058 3,055,529 9,166,588 4,583,294 2,291,647 6,874,942 3,437,471 10,312,414 5,156,207 15,468,622 7,734,311 23,202,934 11,601,467 34,804,402 17,402,201 52,206,604 26,103,302 13,051,651 39,154,954 19,577,477 58,732,432 29,366,216 14,683,108 7,341,554 3,670,777 11,012,332 5,506,166 2,753,083 8,259,250 4,129,625 12,388,876 6,194,438 3,097,219 9,291,658 4,645,829 13,937,488 6,968,744 3,484,372 1,742,186 871,093 2,613,280 1,306,640 653,320 326,660 163,330

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