λ
Sequence Observatory

9,337,792

26 × 145903
Deficient Even Composite

Starting at 9,337,792, the Collatz iteration reaches 1 after 256 steps. The first transition is 4668896; the starting value is even with 14 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 145903
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 18,529,808
Proper Divisor Sum 9,192,016
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9337771 ← → #9337807

Radix Representation

Decimal 9337792
Binary 100011100111101111000000 (24 bits)
Octal 0o43475700
Hexadecimal 0x8E7BC0

Divisor Catalog (14)

1 2 4 8 16 32 64 145,903 291,806 583,612 1,167,224 2,334,448 4,668,896 9,337,792

Collatz Trajectory (256 steps to reach 1)

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

9,337,792 4,668,896 2,334,448 1,167,224 583,612 291,806 145,903 437,710 218,855 656,566 328,283 984,850 492,425 1,477,276 738,638 369,319 1,107,958 553,979 1,661,938 830,969 2,492,908 1,246,454 623,227 1,869,682 934,841 2,804,524 1,402,262 701,131 2,103,394 1,051,697 3,155,092 1,577,546 788,773 2,366,320 1,183,160 591,580 295,790 147,895 443,686 221,843 665,530 332,765 998,296 499,148 249,574 124,787 374,362 187,181 561,544 280,772 140,386 70,193 210,580 105,290 52,645 157,936 78,968 39,484 19,742 9,871

More profiles

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