9,528,348

2² × 3 × 19 × 23² × 79

Starting at 9,528,348, the Collatz iteration reaches 1 after 194 steps. The first transition is 4764174; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 23^2 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 24,774,400

Proper Divisor Sum 15,246,052

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9528341 ← → #9528391

Radix Representation

Decimal	9528348
Binary	100100010110010000011100 (24 bits)
Octal	0o44262034
Hexadecimal	0x91641C

Divisor Catalog (60 of 72)

1 2 3 4 6 12 19 23 38 46 57 69 76 79 92 114 138 158 228 237 276 316 437 474 529 874 948 1,058 1,311 1,501 1,587 1,748 1,817 2,116 2,622 3,002 3,174 3,634 4,503 5,244 5,451 6,004 6,348 7,268 9,006 10,051 10,902 18,012 20,102 21,804 30,153 34,523 40,204 41,791 60,306 69,046 83,582 103,569 120,612 125,373

Collatz Trajectory (194 steps to reach 1)

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

9,528,348 4,764,174 2,382,087 7,146,262 3,573,131 10,719,394 5,359,697 16,079,092 8,039,546 4,019,773 12,059,320 6,029,660 3,014,830 1,507,415 4,522,246 2,261,123 6,783,370 3,391,685 10,175,056 5,087,528 2,543,764 1,271,882 635,941 1,907,824 953,912 476,956 238,478 119,239 357,718 178,859 536,578 268,289 804,868 402,434 201,217 603,652 301,826 150,913 452,740 226,370 113,185 339,556 169,778 84,889 254,668 127,334 63,667 191,002 95,501 286,504 143,252 71,626 35,813 107,440 53,720 26,860 13,430 6,715 20,146 10,073

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