3,477,136

2⁴ × 13 × 73 × 229

Starting at 3,477,136, the Collatz iteration reaches 1 after 133 steps. The first transition is 1738568; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 13 × 73 × 229

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 7,386,680

Proper Divisor Sum 3,909,544

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3477121 ← → #3477137

Radix Representation

Decimal	3477136
Binary	1101010000111010010000 (22 bits)
Octal	0o15207220
Hexadecimal	0x350E90

Divisor Catalog (40)

1 2 4 8 13 16 26 52 73 104 146 208 229 292 458 584 916 949 1,168 1,832 1,898 2,977 3,664 3,796 5,954 7,592 11,908 15,184 16,717 23,816 33,434 47,632 66,868 133,736 217,321 267,472 434,642 869,284 1,738,568 3,477,136

Collatz Trajectory (133 steps to reach 1)

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

3,477,136 1,738,568 869,284 434,642 217,321 651,964 325,982 162,991 488,974 244,487 733,462 366,731 1,100,194 550,097 1,650,292 825,146 412,573 1,237,720 618,860 309,430 154,715 464,146 232,073 696,220 348,110 174,055 522,166 261,083 783,250 391,625 1,174,876 587,438 293,719 881,158 440,579 1,321,738 660,869 1,982,608 991,304 495,652 247,826 123,913 371,740 185,870 92,935 278,806 139,403 418,210 209,105 627,316 313,658 156,829 470,488 235,244 117,622 58,811 176,434 88,217 264,652 132,326

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