λ
Prime Ledger

4,508,097

3 × 113 × 1129
Deficient Odd Composite

4,508,097 has the prime decomposition 3 × 11^3 × 1129. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11^3 × 1129
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,617,280
Proper Divisor Sum 2,109,183
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4508093 ← → #4508107

Radix Representation

Decimal 4508097
Binary 10001001100100111000001 (23 bits)
Octal 0o21144701
Hexadecimal 0x44C9C1

Divisor Catalog (16)

1 3 11 33 121 363 1,129 1,331 3,387 3,993 12,419 37,257 136,609 409,827 1,502,699 4,508,097

Collatz Trajectory (211 steps to reach 1)

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

4,508,097 13,524,292 6,762,146 3,381,073 10,143,220 5,071,610 2,535,805 7,607,416 3,803,708 1,901,854 950,927 2,852,782 1,426,391 4,279,174 2,139,587 6,418,762 3,209,381 9,628,144 4,814,072 2,407,036 1,203,518 601,759 1,805,278 902,639 2,707,918 1,353,959 4,061,878 2,030,939 6,092,818 3,046,409 9,139,228 4,569,614 2,284,807 6,854,422 3,427,211 10,281,634 5,140,817 15,422,452 7,711,226 3,855,613 11,566,840 5,783,420 2,891,710 1,445,855 4,337,566 2,168,783 6,506,350 3,253,175 9,759,526 4,879,763 14,639,290 7,319,645 21,958,936 10,979,468 5,489,734 2,744,867 8,234,602 4,117,301 12,351,904 6,175,952

More profiles

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