λ
Sequence Observatory

9,321,917

11 × 31 × 27337
Deficient Odd Composite

Starting at 9,321,917, the Collatz iteration reaches 1 after 181 steps. The first transition is 27965752; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 31 × 27337
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,497,792
Proper Divisor Sum 1,175,875
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9321901 ← → #9321919

Radix Representation

Decimal 9321917
Binary 100011100011110110111101 (24 bits)
Octal 0o43436675
Hexadecimal 0x8E3DBD

Divisor Catalog (8)

1 11 31 341 27,337 300,707 847,447 9,321,917

Collatz Trajectory (181 steps to reach 1)

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

9,321,917 27,965,752 13,982,876 6,991,438 3,495,719 10,487,158 5,243,579 15,730,738 7,865,369 23,596,108 11,798,054 5,899,027 17,697,082 8,848,541 26,545,624 13,272,812 6,636,406 3,318,203 9,954,610 4,977,305 14,931,916 7,465,958 3,732,979 11,198,938 5,599,469 16,798,408 8,399,204 4,199,602 2,099,801 6,299,404 3,149,702 1,574,851 4,724,554 2,362,277 7,086,832 3,543,416 1,771,708 885,854 442,927 1,328,782 664,391 1,993,174 996,587 2,989,762 1,494,881 4,484,644 2,242,322 1,121,161 3,363,484 1,681,742 840,871 2,522,614 1,261,307 3,783,922 1,891,961 5,675,884 2,837,942 1,418,971 4,256,914 2,128,457

More profiles

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