3,469,746

2 × 3 × 7 × 82613

3,469,746 factors as 2 × 3 × 7 × 82613. Its 16 positive divisors give a proper-divisor sum of 4,461,198, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 82613

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,930,944

Proper Divisor Sum 4,461,198

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3469727 ← → #3469747

Radix Representation

Decimal	3469746
Binary	1101001111000110110010 (22 bits)
Octal	0o15170662
Hexadecimal	0x34F1B2

Divisor Catalog (16)

1 2 3 6 7 14 21 42 82,613 165,226 247,839 495,678 578,291 1,156,582 1,734,873 3,469,746

Collatz Trajectory (128 steps to reach 1)

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

3,469,746 1,734,873 5,204,620 2,602,310 1,301,155 3,903,466 1,951,733 5,855,200 2,927,600 1,463,800 731,900 365,950 182,975 548,926 274,463 823,390 411,695 1,235,086 617,543 1,852,630 926,315 2,778,946 1,389,473 4,168,420 2,084,210 1,042,105 3,126,316 1,563,158 781,579 2,344,738 1,172,369 3,517,108 1,758,554 879,277 2,637,832 1,318,916 659,458 329,729 989,188 494,594 247,297 741,892 370,946 185,473 556,420 278,210 139,105 417,316 208,658 104,329 312,988 156,494 78,247 234,742 117,371 352,114 176,057 528,172 264,086 132,043

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