3,402,493

107 × 31799

3,402,493 factors as 107 × 31799. Its 4 positive divisors give a proper-divisor sum of 31,907, so this integer is deficient. The Collatz stopping time is 252 steps.

Prime Factor Structure

Factorization String 107 × 31799

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 3,434,400

Proper Divisor Sum 31,907

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3402473 ← → #3402517

Radix Representation

Decimal	3402493
Binary	1100111110101011111101 (22 bits)
Octal	0o14765375
Hexadecimal	0x33EAFD

Divisor Catalog (4)

1 107 31,799 3,402,493

Collatz Trajectory (252 steps to reach 1)

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

3,402,493 10,207,480 5,103,740 2,551,870 1,275,935 3,827,806 1,913,903 5,741,710 2,870,855 8,612,566 4,306,283 12,918,850 6,459,425 19,378,276 9,689,138 4,844,569 14,533,708 7,266,854 3,633,427 10,900,282 5,450,141 16,350,424 8,175,212 4,087,606 2,043,803 6,131,410 3,065,705 9,197,116 4,598,558 2,299,279 6,897,838 3,448,919 10,346,758 5,173,379 15,520,138 7,760,069 23,280,208 11,640,104 5,820,052 2,910,026 1,455,013 4,365,040 2,182,520 1,091,260 545,630 272,815 818,446 409,223 1,227,670 613,835 1,841,506 920,753 2,762,260 1,381,130 690,565 2,071,696 1,035,848 517,924 258,962 129,481

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