λ
Integer Codex

9,755,948

22 × 29 × 31 × 2713
Deficient Even Composite

For 9,755,948, the 24 positive divisors have a total of 18,238,080. Removing 9,755,948 leaves 8,482,132, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 29 × 31 × 2713
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,238,080
Proper Divisor Sum 8,482,132
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #9755881 ← → #9755971

Radix Representation

Decimal 9755948
Binary 100101001101110100101100 (24 bits)
Octal 0o45156454
Hexadecimal 0x94DD2C

Divisor Catalog (24)

1 2 4 29 31 58 62 116 124 899 1,798 2,713 3,596 5,426 10,852 78,677 84,103 157,354 168,206 314,708 336,412 2,438,987 4,877,974 9,755,948

Collatz Trajectory (44 steps to reach 1)

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

9,755,948 4,877,974 2,438,987 7,316,962 3,658,481 10,975,444 5,487,722 2,743,861 8,231,584 4,115,792 2,057,896 1,028,948 514,474 257,237 771,712 385,856 192,928 96,464 48,232 24,116 12,058 6,029 18,088 9,044 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

More profiles

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