λ
Harmonic Matrix

715,046

2 × 19 × 31 × 607
Deficient Even Composite

715,046 has digital root 5. The neighboring primes are 715031 and 715049; its proper-divisor sum differs from the starting integer by -262,732.

Prime Factor Structure

Factorization String 2 × 19 × 31 × 607
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,167,360
Proper Divisor Sum 452,314
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #715031 ← → #715049

Radix Representation

Decimal 715046
Binary 10101110100100100110 (20 bits)
Octal 0o2564446
Hexadecimal 0xAE926

Divisor Catalog (16)

1 2 19 31 38 62 589 607 1,178 1,214 11,533 18,817 23,066 37,634 357,523 715,046

Collatz Trajectory (167 steps to reach 1)

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

715,046 357,523 1,072,570 536,285 1,608,856 804,428 402,214 201,107 603,322 301,661 904,984 452,492 226,246 113,123 339,370 169,685 509,056 254,528 127,264 63,632 31,816 15,908 7,954 3,977 11,932 5,966 2,983 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757

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