λ
Harmonic Matrix

7,080,391

7080391
Deficient Odd Prime

7,080,391 has digital root 1. The neighboring primes are 7080383 and 7080401; its proper-divisor sum differs from the starting integer by -7,080,390.

Prime Factor Structure

Factorization String 7080391
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,080,392
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7080383 ← → #7080401

Radix Representation

Decimal 7080391
Binary 11011000000100111000111 (23 bits)
Octal 0o33004707
Hexadecimal 0x6C09C7

Divisor Catalog (2)

Collatz Trajectory (129 steps to reach 1)

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

7,080,391 21,241,174 10,620,587 31,861,762 15,930,881 47,792,644 23,896,322 11,948,161 35,844,484 17,922,242 8,961,121 26,883,364 13,441,682 6,720,841 20,162,524 10,081,262 5,040,631 15,121,894 7,560,947 22,682,842 11,341,421 34,024,264 17,012,132 8,506,066 4,253,033 12,759,100 6,379,550 3,189,775 9,569,326 4,784,663 14,353,990 7,176,995 21,530,986 10,765,493 32,296,480 16,148,240 8,074,120 4,037,060 2,018,530 1,009,265 3,027,796 1,513,898 756,949 2,270,848 1,135,424 567,712 283,856 141,928 70,964 35,482 17,741 53,224 26,612 13,306 6,653 19,960 9,980 4,990 2,495 7,486

More profiles

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