λ
Math Directory

4,098,453

3 × 37 × 36923
Deficient Odd Composite

4,098,453 factors as 3 × 37 × 36923. Its 8 positive divisors give a proper-divisor sum of 1,513,995, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 3 × 37 × 36923
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,612,448
Proper Divisor Sum 1,513,995
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4098449 ← → #4098461

Radix Representation

Decimal 4098453
Binary 1111101000100110010101 (22 bits)
Octal 0o17504625
Hexadecimal 0x3E8995

Divisor Catalog (8)

1 3 37 111 36,923 110,769 1,366,151 4,098,453

Collatz Trajectory (79 steps to reach 1)

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

4,098,453 12,295,360 6,147,680 3,073,840 1,536,920 768,460 384,230 192,115 576,346 288,173 864,520 432,260 216,130 108,065 324,196 162,098 81,049 243,148 121,574 60,787 182,362 91,181 273,544 136,772 68,386 34,193 102,580 51,290 25,645 76,936 38,468 19,234 9,617 28,852 14,426 7,213 21,640 10,820 5,410 2,705 8,116 4,058 2,029 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724

More profiles

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