3,379,684

2² × 7 × 11 × 10973

3,379,684 factors as 2^2 × 7 × 11 × 10973. Its 24 positive divisors give a proper-divisor sum of 3,994,844, so this integer is abundant. The Collatz stopping time is 252 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 10973

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,374,528

Proper Divisor Sum 3,994,844

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3379667 ← → #3379687

Radix Representation

Decimal	3379684
Binary	1100111001000111100100 (22 bits)
Octal	0o14710744
Hexadecimal	0x3391E4

Divisor Catalog (24)

Collatz Trajectory (252 steps to reach 1)

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

3,379,684 1,689,842 844,921 2,534,764 1,267,382 633,691 1,901,074 950,537 2,851,612 1,425,806 712,903 2,138,710 1,069,355 3,208,066 1,604,033 4,812,100 2,406,050 1,203,025 3,609,076 1,804,538 902,269 2,706,808 1,353,404 676,702 338,351 1,015,054 507,527 1,522,582 761,291 2,283,874 1,141,937 3,425,812 1,712,906 856,453 2,569,360 1,284,680 642,340 321,170 160,585 481,756 240,878 120,439 361,318 180,659 541,978 270,989 812,968 406,484 203,242 101,621 304,864 152,432 76,216 38,108 19,054 9,527 28,582 14,291 42,874 21,437

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