λ
Integer Codex

9,234,723

3 × 17 × 43 × 4211
Deficient Odd Composite

For 9,234,723, the 16 positive divisors have a total of 13,343,616. Removing 9,234,723 leaves 4,108,893, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 17 × 43 × 4211
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,343,616
Proper Divisor Sum 4,108,893
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9234713 ← → #9234727

Radix Representation

Decimal 9234723
Binary 100011001110100100100011 (24 bits)
Octal 0o43164443
Hexadecimal 0x8CE923

Divisor Catalog (16)

1 3 17 43 51 129 731 2,193 4,211 12,633 71,587 181,073 214,761 543,219 3,078,241 9,234,723

Collatz Trajectory (101 steps to reach 1)

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

9,234,723 27,704,170 13,852,085 41,556,256 20,778,128 10,389,064 5,194,532 2,597,266 1,298,633 3,895,900 1,947,950 973,975 2,921,926 1,460,963 4,382,890 2,191,445 6,574,336 3,287,168 1,643,584 821,792 410,896 205,448 102,724 51,362 25,681 77,044 38,522 19,261 57,784 28,892 14,446 7,223 21,670 10,835 32,506 16,253 48,760 24,380 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628

More profiles

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