λ
Integer Codex

9,432,723

3 × 401 × 7841
Deficient Odd Composite

For 9,432,723, the 8 positive divisors have a total of 12,609,936. Removing 9,432,723 leaves 3,177,213, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 401 × 7841
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,609,936
Proper Divisor Sum 3,177,213
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9432713 ← → #9432727

Radix Representation

Decimal 9432723
Binary 100011111110111010010011 (24 bits)
Octal 0o43767223
Hexadecimal 0x8FEE93

Divisor Catalog (8)

1 3 401 1,203 7,841 23,523 3,144,241 9,432,723

Collatz Trajectory (194 steps to reach 1)

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

9,432,723 28,298,170 14,149,085 42,447,256 21,223,628 10,611,814 5,305,907 15,917,722 7,958,861 23,876,584 11,938,292 5,969,146 2,984,573 8,953,720 4,476,860 2,238,430 1,119,215 3,357,646 1,678,823 5,036,470 2,518,235 7,554,706 3,777,353 11,332,060 5,666,030 2,833,015 8,499,046 4,249,523 12,748,570 6,374,285 19,122,856 9,561,428 4,780,714 2,390,357 7,171,072 3,585,536 1,792,768 896,384 448,192 224,096 112,048 56,024 28,012 14,006 7,003 21,010 10,505 31,516 15,758 7,879 23,638 11,819 35,458 17,729 53,188 26,594 13,297 39,892 19,946 9,973

More profiles

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