9,931,263

3 × 937 × 3533

Starting at 9,931,263, the Collatz iteration reaches 1 after 189 steps. The first transition is 29793790; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 937 × 3533

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,259,568

Proper Divisor Sum 3,328,305

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9931261 ← → #9931277

Radix Representation

Decimal	9931263
Binary	100101111000100111111111 (24 bits)
Octal	0o45704777
Hexadecimal	0x9789FF

Divisor Catalog (8)

1 3 937 2,811 3,533 10,599 3,310,421 9,931,263

Collatz Trajectory (189 steps to reach 1)

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

9,931,263 29,793,790 14,896,895 44,690,686 22,345,343 67,036,030 33,518,015 100,554,046 50,277,023 150,831,070 75,415,535 226,246,606 113,123,303 339,369,910 169,684,955 509,054,866 254,527,433 763,582,300 381,791,150 190,895,575 572,686,726 286,343,363 859,030,090 429,515,045 1,288,545,136 644,272,568 322,136,284 161,068,142 80,534,071 241,602,214 120,801,107 362,403,322 181,201,661 543,604,984 271,802,492 135,901,246 67,950,623 203,851,870 101,925,935 305,777,806 152,888,903 458,666,710 229,333,355 688,000,066 344,000,033 1,032,000,100 516,000,050 258,000,025 774,000,076 387,000,038 193,500,019 580,500,058 290,250,029 870,750,088 435,375,044 217,687,522 108,843,761 326,531,284 163,265,642 81,632,821

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