λ
Sequence Observatory

9,023,937

3 × 13 × 43 × 5381
Deficient Odd Composite

Starting at 9,023,937, the Collatz iteration reaches 1 after 269 steps. The first transition is 27071812; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 43 × 5381
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,261,248
Proper Divisor Sum 4,237,311
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9023909 ← → #9023947

Radix Representation

Decimal 9023937
Binary 100010011011000111000001 (24 bits)
Octal 0o42330701
Hexadecimal 0x89B1C1

Divisor Catalog (16)

1 3 13 39 43 129 559 1,677 5,381 16,143 69,953 209,859 231,383 694,149 3,007,979 9,023,937

Collatz Trajectory (269 steps to reach 1)

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

9,023,937 27,071,812 13,535,906 6,767,953 20,303,860 10,151,930 5,075,965 15,227,896 7,613,948 3,806,974 1,903,487 5,710,462 2,855,231 8,565,694 4,282,847 12,848,542 6,424,271 19,272,814 9,636,407 28,909,222 14,454,611 43,363,834 21,681,917 65,045,752 32,522,876 16,261,438 8,130,719 24,392,158 12,196,079 36,588,238 18,294,119 54,882,358 27,441,179 82,323,538 41,161,769 123,485,308 61,742,654 30,871,327 92,613,982 46,306,991 138,920,974 69,460,487 208,381,462 104,190,731 312,572,194 156,286,097 468,858,292 234,429,146 117,214,573 351,643,720 175,821,860 87,910,930 43,955,465 131,866,396 65,933,198 32,966,599 98,899,798 49,449,899 148,349,698 74,174,849

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