746,590

2 × 5 × 13 × 5743

746,590 factors as 2 × 5 × 13 × 5743. Its 16 positive divisors give a proper-divisor sum of 700,898, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 5743

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,447,488

Proper Divisor Sum 700,898

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #746563 ← → #746597

Radix Representation

Decimal	746590
Binary	10110110010001011110 (20 bits)
Octal	0o2662136
Hexadecimal	0xB645E

Divisor Catalog (16)

1 2 5 10 13 26 65 130 5,743 11,486 28,715 57,430 74,659 149,318 373,295 746,590

Collatz Trajectory (149 steps to reach 1)

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

746,590 373,295 1,119,886 559,943 1,679,830 839,915 2,519,746 1,259,873 3,779,620 1,889,810 944,905 2,834,716 1,417,358 708,679 2,126,038 1,063,019 3,189,058 1,594,529 4,783,588 2,391,794 1,195,897 3,587,692 1,793,846 896,923 2,690,770 1,345,385 4,036,156 2,018,078 1,009,039 3,027,118 1,513,559 4,540,678 2,270,339 6,811,018 3,405,509 10,216,528 5,108,264 2,554,132 1,277,066 638,533 1,915,600 957,800 478,900 239,450 119,725 359,176 179,588 89,794 44,897 134,692 67,346 33,673 101,020 50,510 25,255 75,766 37,883 113,650 56,825 170,476

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