9,912,948

2² × 3 × 101 × 8179

Starting at 9,912,948, the Collatz iteration reaches 1 after 189 steps. The first transition is 4956474; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 101 × 8179

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 23,362,080

Proper Divisor Sum 13,449,132

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9912943 ← → #9912967

Radix Representation

Decimal	9912948
Binary	100101110100001001110100 (24 bits)
Octal	0o45641164
Hexadecimal	0x974274

Divisor Catalog (24)

1 2 3 4 6 12 101 202 303 404 606 1,212 8,179 16,358 24,537 32,716 49,074 98,148 826,079 1,652,158 2,478,237 3,304,316 4,956,474 9,912,948

Collatz Trajectory (189 steps to reach 1)

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

9,912,948 4,956,474 2,478,237 7,434,712 3,717,356 1,858,678 929,339 2,788,018 1,394,009 4,182,028 2,091,014 1,045,507 3,136,522 1,568,261 4,704,784 2,352,392 1,176,196 588,098 294,049 882,148 441,074 220,537 661,612 330,806 165,403 496,210 248,105 744,316 372,158 186,079 558,238 279,119 837,358 418,679 1,256,038 628,019 1,884,058 942,029 2,826,088 1,413,044 706,522 353,261 1,059,784 529,892 264,946 132,473 397,420 198,710 99,355 298,066 149,033 447,100 223,550 111,775 335,326 167,663 502,990 251,495 754,486 377,243

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