3,464,956

2² × 11² × 7159

Starting at 3,464,956, the Collatz iteration reaches 1 after 128 steps. The first transition is 1732478; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 7159

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 6,665,960

Proper Divisor Sum 3,201,004

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3464921 ← → #3464959

Radix Representation

Decimal	3464956
Binary	1101001101111011111100 (22 bits)
Octal	0o15157374
Hexadecimal	0x34DEFC

Divisor Catalog (18)

1 2 4 11 22 44 121 242 484 7,159 14,318 28,636 78,749 157,498 314,996 866,239 1,732,478 3,464,956

Collatz Trajectory (128 steps to reach 1)

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

3,464,956 1,732,478 866,239 2,598,718 1,299,359 3,898,078 1,949,039 5,847,118 2,923,559 8,770,678 4,385,339 13,156,018 6,578,009 19,734,028 9,867,014 4,933,507 14,800,522 7,400,261 22,200,784 11,100,392 5,550,196 2,775,098 1,387,549 4,162,648 2,081,324 1,040,662 520,331 1,560,994 780,497 2,341,492 1,170,746 585,373 1,756,120 878,060 439,030 219,515 658,546 329,273 987,820 493,910 246,955 740,866 370,433 1,111,300 555,650 277,825 833,476 416,738 208,369 625,108 312,554 156,277 468,832 234,416 117,208 58,604 29,302 14,651 43,954 21,977

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