λ
Harmonic Matrix

674,921

13 × 193 × 269
Deficient Odd Composite

674,921 has digital root 2. The neighboring primes are 674903 and 674929; its proper-divisor sum differs from the starting integer by -616,522.

Prime Factor Structure

Factorization String 13 × 193 × 269
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 733,320
Proper Divisor Sum 58,399
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #674903 ← → #674929

Radix Representation

Decimal 674921
Binary 10100100110001101001 (20 bits)
Octal 0o2446151
Hexadecimal 0xA4C69

Divisor Catalog (8)

1 13 193 269 2,509 3,497 51,917 674,921

Collatz Trajectory (84 steps to reach 1)

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

674,921 2,024,764 1,012,382 506,191 1,518,574 759,287 2,277,862 1,138,931 3,416,794 1,708,397 5,125,192 2,562,596 1,281,298 640,649 1,921,948 960,974 480,487 1,441,462 720,731 2,162,194 1,081,097 3,243,292 1,621,646 810,823 2,432,470 1,216,235 3,648,706 1,824,353 5,473,060 2,736,530 1,368,265 4,104,796 2,052,398 1,026,199 3,078,598 1,539,299 4,617,898 2,308,949 6,926,848 3,463,424 1,731,712 865,856 432,928 216,464 108,232 54,116 27,058 13,529 40,588 20,294 10,147 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282

More profiles

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