λ
Harmonic Matrix

677,059

17 × 39827
Deficient Odd Composite

677,059 has digital root 7. The neighboring primes are 677057 and 677077; its proper-divisor sum differs from the starting integer by -637,214.

Prime Factor Structure

Factorization String 17 × 39827
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 716,904
Proper Divisor Sum 39,845
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #677057 ← → #677077

Radix Representation

Decimal 677059
Binary 10100101010011000011 (20 bits)
Octal 0o2452303
Hexadecimal 0xA54C3

Divisor Catalog (4)

1 17 39,827 677,059

Collatz Trajectory (84 steps to reach 1)

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

677,059 2,031,178 1,015,589 3,046,768 1,523,384 761,692 380,846 190,423 571,270 285,635 856,906 428,453 1,285,360 642,680 321,340 160,670 80,335 241,006 120,503 361,510 180,755 542,266 271,133 813,400 406,700 203,350 101,675 305,026 152,513 457,540 228,770 114,385 343,156 171,578 85,789 257,368 128,684 64,342 32,171 96,514 48,257 144,772 72,386 36,193 108,580 54,290 27,145 81,436 40,718 20,359 61,078 30,539 91,618 45,809 137,428 68,714 34,357 103,072 51,536 25,768

More profiles

← Previous Integer #677,058 Browse Full Index Next Integer #677,060 →