λ
Harmonic Matrix

749,995

5 × 61 × 2459
Deficient Odd Composite

749,995 has digital root 7. The neighboring primes are 749993 and 750019; its proper-divisor sum differs from the starting integer by -584,870.

Prime Factor Structure

Factorization String 5 × 61 × 2459
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 915,120
Proper Divisor Sum 165,125
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #749993 ← → #750019

Radix Representation

Decimal 749995
Binary 10110111000110101011 (20 bits)
Octal 0o2670653
Hexadecimal 0xB71AB

Divisor Catalog (8)

1 5 61 305 2,459 12,295 149,999 749,995

Collatz Trajectory (162 steps to reach 1)

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

749,995 2,249,986 1,124,993 3,374,980 1,687,490 843,745 2,531,236 1,265,618 632,809 1,898,428 949,214 474,607 1,423,822 711,911 2,135,734 1,067,867 3,203,602 1,601,801 4,805,404 2,402,702 1,201,351 3,604,054 1,802,027 5,406,082 2,703,041 8,109,124 4,054,562 2,027,281 6,081,844 3,040,922 1,520,461 4,561,384 2,280,692 1,140,346 570,173 1,710,520 855,260 427,630 213,815 641,446 320,723 962,170 481,085 1,443,256 721,628 360,814 180,407 541,222 270,611 811,834 405,917 1,217,752 608,876 304,438 152,219 456,658 228,329 684,988 342,494 171,247

More profiles

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