λ
Sequence Observatory

9,932,691

3 × 61 × 54277
Deficient Odd Composite

Starting at 9,932,691, the Collatz iteration reaches 1 after 388 steps. The first transition is 29798074; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 61 × 54277
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,460,944
Proper Divisor Sum 3,528,253
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9932669 ← → #9932707

Radix Representation

Decimal 9932691
Binary 100101111000111110010011 (24 bits)
Octal 0o45707623
Hexadecimal 0x978F93

Divisor Catalog (8)

1 3 61 183 54,277 162,831 3,310,897 9,932,691

Collatz Trajectory (388 steps to reach 1)

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

9,932,691 29,798,074 14,899,037 44,697,112 22,348,556 11,174,278 5,587,139 16,761,418 8,380,709 25,142,128 12,571,064 6,285,532 3,142,766 1,571,383 4,714,150 2,357,075 7,071,226 3,535,613 10,606,840 5,303,420 2,651,710 1,325,855 3,977,566 1,988,783 5,966,350 2,983,175 8,949,526 4,474,763 13,424,290 6,712,145 20,136,436 10,068,218 5,034,109 15,102,328 7,551,164 3,775,582 1,887,791 5,663,374 2,831,687 8,495,062 4,247,531 12,742,594 6,371,297 19,113,892 9,556,946 4,778,473 14,335,420 7,167,710 3,583,855 10,751,566 5,375,783 16,127,350 8,063,675 24,191,026 12,095,513 36,286,540 18,143,270 9,071,635 27,214,906 13,607,453

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