4,102,917

3 × 7² × 13 × 19 × 113

Starting at 4,102,917, the Collatz iteration reaches 1 after 105 steps. The first transition is 12308752; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 13 × 19 × 113

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,277,760

Proper Divisor Sum 3,174,843

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4102909 ← → #4102927

Radix Representation

Decimal	4102917
Binary	1111101001101100000101 (22 bits)
Octal	0o17515405
Hexadecimal	0x3E9B05

Divisor Catalog (48)

1 3 7 13 19 21 39 49 57 91 113 133 147 247 273 339 399 637 741 791 931 1,469 1,729 1,911 2,147 2,373 2,793 4,407 5,187 5,537 6,441 10,283 12,103 15,029 16,611 27,911 30,849 36,309 45,087 71,981 83,733 105,203 195,377 215,943 315,609 586,131 1,367,639 4,102,917

Collatz Trajectory (105 steps to reach 1)

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

4,102,917 12,308,752 6,154,376 3,077,188 1,538,594 769,297 2,307,892 1,153,946 576,973 1,730,920 865,460 432,730 216,365 649,096 324,548 162,274 81,137 243,412 121,706 60,853 182,560 91,280 45,640 22,820 11,410 5,705 17,116 8,558 4,279 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340

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