λ
Sequence Observatory

9,924,431

11 × 23 × 39227
Deficient Odd Composite

Starting at 9,924,431, the Collatz iteration reaches 1 after 145 steps. The first transition is 29773294; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 23 × 39227
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,297,664
Proper Divisor Sum 1,373,233
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9924407 ← → #9924437

Radix Representation

Decimal 9924431
Binary 100101110110111101001111 (24 bits)
Octal 0o45667517
Hexadecimal 0x976F4F

Divisor Catalog (8)

1 11 23 253 39,227 431,497 902,221 9,924,431

Collatz Trajectory (145 steps to reach 1)

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

9,924,431 29,773,294 14,886,647 44,659,942 22,329,971 66,989,914 33,494,957 100,484,872 50,242,436 25,121,218 12,560,609 37,681,828 18,840,914 9,420,457 28,261,372 14,130,686 7,065,343 21,196,030 10,598,015 31,794,046 15,897,023 47,691,070 23,845,535 71,536,606 35,768,303 107,304,910 53,652,455 160,957,366 80,478,683 241,436,050 120,718,025 362,154,076 181,077,038 90,538,519 271,615,558 135,807,779 407,423,338 203,711,669 611,135,008 305,567,504 152,783,752 76,391,876 38,195,938 19,097,969 57,293,908 28,646,954 14,323,477 42,970,432 21,485,216 10,742,608 5,371,304 2,685,652 1,342,826 671,413 2,014,240 1,007,120 503,560 251,780 125,890 62,945

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