λ
Math Directory

2,409,025

52 × 173 × 557
Deficient Odd Composite

2,409,025 factors as 5^2 × 173 × 557. Its 12 positive divisors give a proper-divisor sum of 600,827, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 5^2 × 173 × 557
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,009,852
Proper Divisor Sum 600,827
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2409023 ← → #2409031

Radix Representation

Decimal 2409025
Binary 1001001100001001000001 (22 bits)
Octal 0o11141101
Hexadecimal 0x24C241

Divisor Catalog (12)

1 5 25 173 557 865 2,785 4,325 13,925 96,361 481,805 2,409,025

Collatz Trajectory (91 steps to reach 1)

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

2,409,025 7,227,076 3,613,538 1,806,769 5,420,308 2,710,154 1,355,077 4,065,232 2,032,616 1,016,308 508,154 254,077 762,232 381,116 190,558 95,279 285,838 142,919 428,758 214,379 643,138 321,569 964,708 482,354 241,177 723,532 361,766 180,883 542,650 271,325 813,976 406,988 203,494 101,747 305,242 152,621 457,864 228,932 114,466 57,233 171,700 85,850 42,925 128,776 64,388 32,194 16,097 48,292 24,146 12,073 36,220 18,110 9,055 27,166 13,583 40,750 20,375 61,126 30,563 91,690

More profiles

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