6,925,749

3 × 17 × 135799

Starting at 6,925,749, the Collatz iteration reaches 1 after 178 steps. The first transition is 20777248; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 17 × 135799

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,777,600

Proper Divisor Sum 2,851,851

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #6925733 ← → #6925777

Radix Representation

Decimal	6925749
Binary	11010011010110110110101 (23 bits)
Octal	0o32326665
Hexadecimal	0x69ADB5

Divisor Catalog (8)

1 3 17 51 135,799 407,397 2,308,583 6,925,749

Collatz Trajectory (178 steps to reach 1)

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

6,925,749 20,777,248 10,388,624 5,194,312 2,597,156 1,298,578 649,289 1,947,868 973,934 486,967 1,460,902 730,451 2,191,354 1,095,677 3,287,032 1,643,516 821,758 410,879 1,232,638 616,319 1,848,958 924,479 2,773,438 1,386,719 4,160,158 2,080,079 6,240,238 3,120,119 9,360,358 4,680,179 14,040,538 7,020,269 21,060,808 10,530,404 5,265,202 2,632,601 7,897,804 3,948,902 1,974,451 5,923,354 2,961,677 8,885,032 4,442,516 2,221,258 1,110,629 3,331,888 1,665,944 832,972 416,486 208,243 624,730 312,365 937,096 468,548 234,274 117,137 351,412 175,706 87,853 263,560

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