λ
Harmonic Matrix

7,256,013

3 × 2418671
Deficient Odd Composite

7,256,013 has digital root 6. The neighboring primes are 7255999 and 7256023; its proper-divisor sum differs from the starting integer by -4,837,338.

Prime Factor Structure

Factorization String 3 × 2418671
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,674,688
Proper Divisor Sum 2,418,675
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7255999 ← → #7256023

Radix Representation

Decimal 7256013
Binary 11011101011011111001101 (23 bits)
Octal 0o33533715
Hexadecimal 0x6EB7CD

Divisor Catalog (4)

1 3 2,418,671 7,256,013

Collatz Trajectory (160 steps to reach 1)

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

7,256,013 21,768,040 10,884,020 5,442,010 2,721,005 8,163,016 4,081,508 2,040,754 1,020,377 3,061,132 1,530,566 765,283 2,295,850 1,147,925 3,443,776 1,721,888 860,944 430,472 215,236 107,618 53,809 161,428 80,714 40,357 121,072 60,536 30,268 15,134 7,567 22,702 11,351 34,054 17,027 51,082 25,541 76,624 38,312 19,156 9,578 4,789 14,368 7,184 3,592 1,796 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215

More profiles

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