λ
Harmonic Matrix

8,382,433

8382433
Deficient Odd Prime

8,382,433 has digital root 4. The neighboring primes are 8382389 and 8382443; its proper-divisor sum differs from the starting integer by -8,382,432.

Prime Factor Structure

Factorization String 8382433
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,382,434
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8382389 ← → #8382443

Radix Representation

Decimal 8382433
Binary 11111111110011111100001 (23 bits)
Octal 0o37763741
Hexadecimal 0x7FE7E1

Divisor Catalog (2)

Collatz Trajectory (137 steps to reach 1)

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

8,382,433 25,147,300 12,573,650 6,286,825 18,860,476 9,430,238 4,715,119 14,145,358 7,072,679 21,218,038 10,609,019 31,827,058 15,913,529 47,740,588 23,870,294 11,935,147 35,805,442 17,902,721 53,708,164 26,854,082 13,427,041 40,281,124 20,140,562 10,070,281 30,210,844 15,105,422 7,552,711 22,658,134 11,329,067 33,987,202 16,993,601 50,980,804 25,490,402 12,745,201 38,235,604 19,117,802 9,558,901 28,676,704 14,338,352 7,169,176 3,584,588 1,792,294 896,147 2,688,442 1,344,221 4,032,664 2,016,332 1,008,166 504,083 1,512,250 756,125 2,268,376 1,134,188 567,094 283,547 850,642 425,321 1,275,964 637,982 318,991

More profiles

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