3,926,337

3 × 17 × 167 × 461

3,926,337 factors as 3 × 17 × 167 × 461. Its 16 positive divisors give a proper-divisor sum of 1,662,015, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 3 × 17 × 167 × 461

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,588,352

Proper Divisor Sum 1,662,015

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3926323 ← → #3926341

Radix Representation

Decimal	3926337
Binary	1110111110100101000001 (22 bits)
Octal	0o16764501
Hexadecimal	0x3BE941

Divisor Catalog (16)

1 3 17 51 167 461 501 1,383 2,839 7,837 8,517 23,511 76,987 230,961 1,308,779 3,926,337

Collatz Trajectory (198 steps to reach 1)

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

3,926,337 11,779,012 5,889,506 2,944,753 8,834,260 4,417,130 2,208,565 6,625,696 3,312,848 1,656,424 828,212 414,106 207,053 621,160 310,580 155,290 77,645 232,936 116,468 58,234 29,117 87,352 43,676 21,838 10,919 32,758 16,379 49,138 24,569 73,708 36,854 18,427 55,282 27,641 82,924 41,462 20,731 62,194 31,097 93,292 46,646 23,323 69,970 34,985 104,956 52,478 26,239 78,718 39,359 118,078 59,039 177,118 88,559 265,678 132,839 398,518 199,259 597,778 298,889 896,668

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