λ
Integer Codex

9,976,145

5 × 29 × 107 × 643
Deficient Odd Composite

For 9,976,145, the 16 positive divisors have a total of 12,519,360. Removing 9,976,145 leaves 2,543,215, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 29 × 107 × 643
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,519,360
Proper Divisor Sum 2,543,215
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9976103 ← → #9976151

Radix Representation

Decimal 9976145
Binary 100110000011100101010001 (24 bits)
Octal 0o46034521
Hexadecimal 0x983951

Divisor Catalog (16)

1 5 29 107 145 535 643 3,103 3,215 15,515 18,647 68,801 93,235 344,005 1,995,229 9,976,145

Collatz Trajectory (101 steps to reach 1)

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

9,976,145 29,928,436 14,964,218 7,482,109 22,446,328 11,223,164 5,611,582 2,805,791 8,417,374 4,208,687 12,626,062 6,313,031 18,939,094 9,469,547 28,408,642 14,204,321 42,612,964 21,306,482 10,653,241 31,959,724 15,979,862 7,989,931 23,969,794 11,984,897 35,954,692 17,977,346 8,988,673 26,966,020 13,483,010 6,741,505 20,224,516 10,112,258 5,056,129 15,168,388 7,584,194 3,792,097 11,376,292 5,688,146 2,844,073 8,532,220 4,266,110 2,133,055 6,399,166 3,199,583 9,598,750 4,799,375 14,398,126 7,199,063 21,597,190 10,798,595 32,395,786 16,197,893 48,593,680 24,296,840 12,148,420 6,074,210 3,037,105 9,111,316 4,555,658 2,277,829

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