3,938,522

2 × 7² × 40189

3,938,522 factors as 2 × 7^2 × 40189. Its 12 positive divisors give a proper-divisor sum of 2,933,968, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 40189

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,872,490

Proper Divisor Sum 2,933,968

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3938521 ← → #3938527

Radix Representation

Decimal	3938522
Binary	1111000001100011011010 (22 bits)
Octal	0o17014332
Hexadecimal	0x3C18DA

Divisor Catalog (12)

1 2 7 14 49 98 40,189 80,378 281,323 562,646 1,969,261 3,938,522

Collatz Trajectory (123 steps to reach 1)

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

3,938,522 1,969,261 5,907,784 2,953,892 1,476,946 738,473 2,215,420 1,107,710 553,855 1,661,566 830,783 2,492,350 1,246,175 3,738,526 1,869,263 5,607,790 2,803,895 8,411,686 4,205,843 12,617,530 6,308,765 18,926,296 9,463,148 4,731,574 2,365,787 7,097,362 3,548,681 10,646,044 5,323,022 2,661,511 7,984,534 3,992,267 11,976,802 5,988,401 17,965,204 8,982,602 4,491,301 13,473,904 6,736,952 3,368,476 1,684,238 842,119 2,526,358 1,263,179 3,789,538 1,894,769 5,684,308 2,842,154 1,421,077 4,263,232 2,131,616 1,065,808 532,904 266,452 133,226 66,613 199,840 99,920 49,960 24,980

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