9,315,427

11² × 167 × 461

Starting at 9,315,427, the Collatz iteration reaches 1 after 150 steps. The first transition is 27946282; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 11^2 × 167 × 461

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,322,928

Proper Divisor Sum 1,007,501

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9315421 ← → #9315433

Radix Representation

Decimal	9315427
Binary	100011100010010001100011 (24 bits)
Octal	0o43422143
Hexadecimal	0x8E2463

Divisor Catalog (12)

1 11 121 167 461 1,837 5,071 20,207 55,781 76,987 846,857 9,315,427

Collatz Trajectory (150 steps to reach 1)

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

9,315,427 27,946,282 13,973,141 41,919,424 20,959,712 10,479,856 5,239,928 2,619,964 1,309,982 654,991 1,964,974 982,487 2,947,462 1,473,731 4,421,194 2,210,597 6,631,792 3,315,896 1,657,948 828,974 414,487 1,243,462 621,731 1,865,194 932,597 2,797,792 1,398,896 699,448 349,724 174,862 87,431 262,294 131,147 393,442 196,721 590,164 295,082 147,541 442,624 221,312 110,656 55,328 27,664 13,832 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274

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