9,691,974

2 × 3⁴ × 29 × 2063

Starting at 9,691,974, the Collatz iteration reaches 1 after 176 steps. The first transition is 4845987; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 29 × 2063

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 22,476,960

Proper Divisor Sum 12,784,986

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9691963 ← → #9691987

Radix Representation

Decimal	9691974
Binary	100100111110001101000110 (24 bits)
Octal	0o44761506
Hexadecimal	0x93E346

Divisor Catalog (40)

Collatz Trajectory (176 steps to reach 1)

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

9,691,974 4,845,987 14,537,962 7,268,981 21,806,944 10,903,472 5,451,736 2,725,868 1,362,934 681,467 2,044,402 1,022,201 3,066,604 1,533,302 766,651 2,299,954 1,149,977 3,449,932 1,724,966 862,483 2,587,450 1,293,725 3,881,176 1,940,588 970,294 485,147 1,455,442 727,721 2,183,164 1,091,582 545,791 1,637,374 818,687 2,456,062 1,228,031 3,684,094 1,842,047 5,526,142 2,763,071 8,289,214 4,144,607 12,433,822 6,216,911 18,650,734 9,325,367 27,976,102 13,988,051 41,964,154 20,982,077 62,946,232 31,473,116 15,736,558 7,868,279 23,604,838 11,802,419 35,407,258 17,703,629 53,110,888 26,555,444 13,277,722

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