9,975,567

3 × 7² × 79 × 859

Starting at 9,975,567, the Collatz iteration reaches 1 after 251 steps. The first transition is 29926702; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 79 × 859

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,686,400

Proper Divisor Sum 5,710,833

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #9975547 ← → #9975569

Radix Representation

Decimal	9975567
Binary	100110000011011100001111 (24 bits)
Octal	0o46033417
Hexadecimal	0x98370F

Divisor Catalog (24)

1 3 7 21 49 79 147 237 553 859 1,659 2,577 3,871 6,013 11,613 18,039 42,091 67,861 126,273 203,583 475,027 1,425,081 3,325,189 9,975,567

Collatz Trajectory (251 steps to reach 1)

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

9,975,567 29,926,702 14,963,351 44,890,054 22,445,027 67,335,082 33,667,541 101,002,624 50,501,312 25,250,656 12,625,328 6,312,664 3,156,332 1,578,166 789,083 2,367,250 1,183,625 3,550,876 1,775,438 887,719 2,663,158 1,331,579 3,994,738 1,997,369 5,992,108 2,996,054 1,498,027 4,494,082 2,247,041 6,741,124 3,370,562 1,685,281 5,055,844 2,527,922 1,263,961 3,791,884 1,895,942 947,971 2,843,914 1,421,957 4,265,872 2,132,936 1,066,468 533,234 266,617 799,852 399,926 199,963 599,890 299,945 899,836 449,918 224,959 674,878 337,439 1,012,318 506,159 1,518,478 759,239 2,277,718

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