λ
Integer Codex

2,993,617

11 × 43 × 6329
Deficient Odd Composite

For 2,993,617, the 8 positive divisors have a total of 3,342,240. Removing 2,993,617 leaves 348,623, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 43 × 6329
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,342,240
Proper Divisor Sum 348,623
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2993609 ← → #2993629

Radix Representation

Decimal 2993617
Binary 1011011010110111010001 (22 bits)
Octal 0o13326721
Hexadecimal 0x2DADD1

Divisor Catalog (8)

1 11 43 473 6,329 69,619 272,147 2,993,617

Collatz Trajectory (151 steps to reach 1)

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

2,993,617 8,980,852 4,490,426 2,245,213 6,735,640 3,367,820 1,683,910 841,955 2,525,866 1,262,933 3,788,800 1,894,400 947,200 473,600 236,800 118,400 59,200 29,600 14,800 7,400 3,700 1,850 925 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91

More profiles

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