λ
Modular Archive

7,310,013

3 × 41 × 103 × 577
Deficient Odd Composite

The decimal integer 7,310,013 is 11011111000101010111101 in binary (23 bits), 33705275 in octal and 6F8ABD in hexadecimal. Its digit sum is 15.

Prime Factor Structure

Factorization String 3 × 41 × 103 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,098,816
Proper Divisor Sum 2,788,803
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #7310011 ← → #7310027

Radix Representation

Decimal 7310013
Binary 11011111000101010111101 (23 bits)
Octal 0o33705275
Hexadecimal 0x6F8ABD

Divisor Catalog (16)

1 3 41 103 123 309 577 1,731 4,223 12,669 23,657 59,431 70,971 178,293 2,436,671 7,310,013

Collatz Trajectory (204 steps to reach 1)

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

7,310,013 21,930,040 10,965,020 5,482,510 2,741,255 8,223,766 4,111,883 12,335,650 6,167,825 18,503,476 9,251,738 4,625,869 13,877,608 6,938,804 3,469,402 1,734,701 5,204,104 2,602,052 1,301,026 650,513 1,951,540 975,770 487,885 1,463,656 731,828 365,914 182,957 548,872 274,436 137,218 68,609 205,828 102,914 51,457 154,372 77,186 38,593 115,780 57,890 28,945 86,836 43,418 21,709 65,128 32,564 16,282 8,141 24,424 12,212 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289

More profiles

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