λ
Harmonic Matrix

661,747

569 × 1163
Deficient Odd Composite

661,747 has digital root 4. The neighboring primes are 661741 and 661769; its proper-divisor sum differs from the starting integer by -660,014.

Prime Factor Structure

Factorization String 569 × 1163
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 663,480
Proper Divisor Sum 1,733
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #661741 ← → #661769

Radix Representation

Decimal 661747
Binary 10100001100011110011 (20 bits)
Octal 0o2414363
Hexadecimal 0xA18F3

Divisor Catalog (4)

1 569 1,163 661,747

Collatz Trajectory (185 steps to reach 1)

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

661,747 1,985,242 992,621 2,977,864 1,488,932 744,466 372,233 1,116,700 558,350 279,175 837,526 418,763 1,256,290 628,145 1,884,436 942,218 471,109 1,413,328 706,664 353,332 176,666 88,333 265,000 132,500 66,250 33,125 99,376 49,688 24,844 12,422 6,211 18,634 9,317 27,952 13,976 6,988 3,494 1,747 5,242 2,621 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210

More profiles

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