λ
Harmonic Matrix

8,364,457

8364457
Deficient Odd Prime

8,364,457 has digital root 1. The neighboring primes are 8364443 and 8364509; its proper-divisor sum differs from the starting integer by -8,364,456.

Prime Factor Structure

Factorization String 8364457
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,364,458
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8364443 ← → #8364509

Radix Representation

Decimal 8364457
Binary 11111111010000110101001 (23 bits)
Octal 0o37720651
Hexadecimal 0x7FA1A9

Divisor Catalog (2)

Collatz Trajectory (199 steps to reach 1)

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

8,364,457 25,093,372 12,546,686 6,273,343 18,820,030 9,410,015 28,230,046 14,115,023 42,345,070 21,172,535 63,517,606 31,758,803 95,276,410 47,638,205 142,914,616 71,457,308 35,728,654 17,864,327 53,592,982 26,796,491 80,389,474 40,194,737 120,584,212 60,292,106 30,146,053 90,438,160 45,219,080 22,609,540 11,304,770 5,652,385 16,957,156 8,478,578 4,239,289 12,717,868 6,358,934 3,179,467 9,538,402 4,769,201 14,307,604 7,153,802 3,576,901 10,730,704 5,365,352 2,682,676 1,341,338 670,669 2,012,008 1,006,004 503,002 251,501 754,504 377,252 188,626 94,313 282,940 141,470 70,735 212,206 106,103 318,310

More profiles

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