λ
Integer Codex

9,215,521

7 × 751 × 1753
Deficient Odd Composite

For 9,215,521, the 8 positive divisors have a total of 10,552,064. Removing 9,215,521 leaves 1,336,543, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 751 × 1753
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,552,064
Proper Divisor Sum 1,336,543
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #9215509 ← → #9215597

Radix Representation

Decimal 9215521
Binary 100011001001111000100001 (24 bits)
Octal 0o43117041
Hexadecimal 0x8C9E21

Divisor Catalog (8)

1 7 751 1,753 5,257 12,271 1,316,503 9,215,521

Collatz Trajectory (225 steps to reach 1)

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

9,215,521 27,646,564 13,823,282 6,911,641 20,734,924 10,367,462 5,183,731 15,551,194 7,775,597 23,326,792 11,663,396 5,831,698 2,915,849 8,747,548 4,373,774 2,186,887 6,560,662 3,280,331 9,840,994 4,920,497 14,761,492 7,380,746 3,690,373 11,071,120 5,535,560 2,767,780 1,383,890 691,945 2,075,836 1,037,918 518,959 1,556,878 778,439 2,335,318 1,167,659 3,502,978 1,751,489 5,254,468 2,627,234 1,313,617 3,940,852 1,970,426 985,213 2,955,640 1,477,820 738,910 369,455 1,108,366 554,183 1,662,550 831,275 2,493,826 1,246,913 3,740,740 1,870,370 935,185 2,805,556 1,402,778 701,389 2,104,168

More profiles

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