λ
Harmonic Matrix

707,601

3 × 149 × 1583
Deficient Odd Composite

707,601 has digital root 3. The neighboring primes are 707573 and 707627; its proper-divisor sum differs from the starting integer by -464,802.

Prime Factor Structure

Factorization String 3 × 149 × 1583
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 950,400
Proper Divisor Sum 242,799
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #707573 ← → #707627

Radix Representation

Decimal 707601
Binary 10101100110000010001 (20 bits)
Octal 0o2546021
Hexadecimal 0xACC11

Divisor Catalog (8)

1 3 149 447 1,583 4,749 235,867 707,601

Collatz Trajectory (105 steps to reach 1)

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

707,601 2,122,804 1,061,402 530,701 1,592,104 796,052 398,026 199,013 597,040 298,520 149,260 74,630 37,315 111,946 55,973 167,920 83,960 41,980 20,990 10,495 31,486 15,743 47,230 23,615 70,846 35,423 106,270 53,135 159,406 79,703 239,110 119,555 358,666 179,333 538,000 269,000 134,500 67,250 33,625 100,876 50,438 25,219 75,658 37,829 113,488 56,744 28,372 14,186 7,093 21,280 10,640 5,320 2,660 1,330 665 1,996 998 499 1,498 749

More profiles

← Previous Integer #707,600 Browse Full Index Next Integer #707,602 →