3,329,676

2² × 3² × 7 × 73 × 181

Starting at 3,329,676, the Collatz iteration reaches 1 after 177 steps. The first transition is 1664838; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 73 × 181

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 9,804,704

Proper Divisor Sum 6,475,028

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3329659 ← → #3329707

Radix Representation

Decimal	3329676
Binary	1100101100111010001100 (22 bits)
Octal	0o14547214
Hexadecimal	0x32CE8C

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 146 181 219 252 292 362 438 511 543 657 724 876 1,022 1,086 1,267 1,314 1,533 1,629 2,044 2,172 2,534 2,628 3,066 3,258 3,801 4,599 5,068 6,132 6,516 7,602 9,198 11,403 13,213 15,204 18,396 22,806 26,426 39,639 45,612 52,852 79,278 92,491

Collatz Trajectory (177 steps to reach 1)

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

3,329,676 1,664,838 832,419 2,497,258 1,248,629 3,745,888 1,872,944 936,472 468,236 234,118 117,059 351,178 175,589 526,768 263,384 131,692 65,846 32,923 98,770 49,385 148,156 74,078 37,039 111,118 55,559 166,678 83,339 250,018 125,009 375,028 187,514 93,757 281,272 140,636 70,318 35,159 105,478 52,739 158,218 79,109 237,328 118,664 59,332 29,666 14,833 44,500 22,250 11,125 33,376 16,688 8,344 4,172 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587

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