λ
Harmonic Matrix

974,627

17 × 57331
Deficient Odd Composite

974,627 has digital root 8. The neighboring primes are 974599 and 974651; its proper-divisor sum differs from the starting integer by -917,278.

Prime Factor Structure

Factorization String 17 × 57331
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,031,976
Proper Divisor Sum 57,349
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #974599 ← → #974651

Radix Representation

Decimal 974627
Binary 11101101111100100011 (20 bits)
Octal 0o3557443
Hexadecimal 0xEDF23

Divisor Catalog (4)

1 17 57,331 974,627

Collatz Trajectory (95 steps to reach 1)

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

974,627 2,923,882 1,461,941 4,385,824 2,192,912 1,096,456 548,228 274,114 137,057 411,172 205,586 102,793 308,380 154,190 77,095 231,286 115,643 346,930 173,465 520,396 260,198 130,099 390,298 195,149 585,448 292,724 146,362 73,181 219,544 109,772 54,886 27,443 82,330 41,165 123,496 61,748 30,874 15,437 46,312 23,156 11,578 5,789 17,368 8,684 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031

More profiles

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