3,748,827

3 × 131 × 9539

3,748,827 factors as 3 × 131 × 9539. Its 8 positive divisors give a proper-divisor sum of 1,288,293, so this integer is deficient. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 3 × 131 × 9539

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,037,120

Proper Divisor Sum 1,288,293

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3748819 ← → #3748831

Radix Representation

Decimal	3748827
Binary	1110010011001111011011 (22 bits)
Octal	0o16231733
Hexadecimal	0x3933DB

Divisor Catalog (8)

1 3 131 393 9,539 28,617 1,249,609 3,748,827

Collatz Trajectory (66 steps to reach 1)

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

3,748,827 11,246,482 5,623,241 16,869,724 8,434,862 4,217,431 12,652,294 6,326,147 18,978,442 9,489,221 28,467,664 14,233,832 7,116,916 3,558,458 1,779,229 5,337,688 2,668,844 1,334,422 667,211 2,001,634 1,000,817 3,002,452 1,501,226 750,613 2,251,840 1,125,920 562,960 281,480 140,740 70,370 35,185 105,556 52,778 26,389 79,168 39,584 19,792 9,896 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20

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