λ
Harmonic Matrix

7,377,317

7377317
Deficient Odd Prime

7,377,317 has digital root 8. The neighboring primes are 7377311 and 7377361; its proper-divisor sum differs from the starting integer by -7,377,316.

Prime Factor Structure

Factorization String 7377317
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,377,318
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7377311 ← → #7377361

Radix Representation

Decimal 7377317
Binary 11100001001000110100101 (23 bits)
Octal 0o34110645
Hexadecimal 0x7091A5

Divisor Catalog (2)

Collatz Trajectory (204 steps to reach 1)

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

7,377,317 22,131,952 11,065,976 5,532,988 2,766,494 1,383,247 4,149,742 2,074,871 6,224,614 3,112,307 9,336,922 4,668,461 14,005,384 7,002,692 3,501,346 1,750,673 5,252,020 2,626,010 1,313,005 3,939,016 1,969,508 984,754 492,377 1,477,132 738,566 369,283 1,107,850 553,925 1,661,776 830,888 415,444 207,722 103,861 311,584 155,792 77,896 38,948 19,474 9,737 29,212 14,606 7,303 21,910 10,955 32,866 16,433 49,300 24,650 12,325 36,976 18,488 9,244 4,622 2,311 6,934 3,467 10,402 5,201 15,604 7,802

More profiles

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