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Atlas › Integer Profiles › Node 25,753,824

25,753,824

25 × 32 × 223 × 401
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 223 × 401
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 73,749,312
Proper Divisor Sum 47,995,488
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #25753823 ← → #25753829

Radix Representation

Decimal 25753824
Binary 1100010001111100011100000 (25 bits)
Octal 0o142174340
Hexadecimal 0x188F8E0

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 223 288 401 446 669 802 892 1,203 1,338 1,604 1,784 2,007 2,406 2,676 3,208 3,568 3,609 4,014 4,812 5,352 6,416 7,136 7,218 8,028 9,624 10,704 12,832 14,436 16,056 19,248 21,408 28,872 32,112 38,496 57,744 64,224 89,423 115,488 178,846 268,269 357,692 536,538 715,384

Collatz Trajectory (123 steps to reach 1)

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

25,753,824 12,876,912 6,438,456 3,219,228 1,609,614 804,807 2,414,422 1,207,211 3,621,634 1,810,817 5,432,452 2,716,226 1,358,113 4,074,340 2,037,170 1,018,585 3,055,756 1,527,878 763,939 2,291,818 1,145,909 3,437,728 1,718,864 859,432 429,716 214,858 107,429 322,288 161,144 80,572 40,286 20,143 60,430 30,215 90,646 45,323 135,970 67,985 203,956 101,978 50,989 152,968 76,484 38,242 19,121 57,364 28,682 14,341 43,024 21,512 10,756 5,378 2,689 8,068 4,034 2,017 6,052 3,026 1,513 4,540

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