9,371,275

5² × 19 × 109 × 181

Starting at 9,371,275, the Collatz iteration reaches 1 after 132 steps. The first transition is 28113826; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 19 × 109 × 181

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,412,400

Proper Divisor Sum 3,041,125

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9371273 ← → #9371287

Radix Representation

Decimal	9371275
Binary	100011101111111010001011 (24 bits)
Octal	0o43577213
Hexadecimal	0x8EFE8B

Divisor Catalog (24)

1 5 19 25 95 109 181 475 545 905 2,071 2,725 3,439 4,525 10,355 17,195 19,729 51,775 85,975 98,645 374,851 493,225 1,874,255 9,371,275

Collatz Trajectory (132 steps to reach 1)

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

9,371,275 28,113,826 14,056,913 42,170,740 21,085,370 10,542,685 31,628,056 15,814,028 7,907,014 3,953,507 11,860,522 5,930,261 17,790,784 8,895,392 4,447,696 2,223,848 1,111,924 555,962 277,981 833,944 416,972 208,486 104,243 312,730 156,365 469,096 234,548 117,274 58,637 175,912 87,956 43,978 21,989 65,968 32,984 16,492 8,246 4,123 12,370 6,185 18,556 9,278 4,639 13,918 6,959 20,878 10,439 31,318 15,659 46,978 23,489 70,468 35,234 17,617 52,852 26,426 13,213 39,640 19,820 9,910

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