λ
Integer Codex

9,429,273

32 × 7 × 97 × 1543
Deficient Odd Composite

For 9,429,273, the 24 positive divisors have a total of 15,736,448. Removing 9,429,273 leaves 6,307,175, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 7 × 97 × 1543
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,736,448
Proper Divisor Sum 6,307,175
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9429269 ← → #9429289

Radix Representation

Decimal 9429273
Binary 100011111110000100011001 (24 bits)
Octal 0o43760431
Hexadecimal 0x8FE119

Divisor Catalog (24)

1 3 7 9 21 63 97 291 679 873 1,543 2,037 4,629 6,111 10,801 13,887 32,403 97,209 149,671 449,013 1,047,697 1,347,039 3,143,091 9,429,273

Collatz Trajectory (75 steps to reach 1)

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

9,429,273 28,287,820 14,143,910 7,071,955 21,215,866 10,607,933 31,823,800 15,911,900 7,955,950 3,977,975 11,933,926 5,966,963 17,900,890 8,950,445 26,851,336 13,425,668 6,712,834 3,356,417 10,069,252 5,034,626 2,517,313 7,551,940 3,775,970 1,887,985 5,663,956 2,831,978 1,415,989 4,247,968 2,123,984 1,061,992 530,996 265,498 132,749 398,248 199,124 99,562 49,781 149,344 74,672 37,336 18,668 9,334 4,667 14,002 7,001 21,004 10,502 5,251 15,754 7,877 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277

More profiles

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