λ
Harmonic Matrix

5,236,397

41 × 127717
Deficient Odd Composite

5,236,397 has digital root 8. The neighboring primes are 5236393 and 5236409; its proper-divisor sum differs from the starting integer by -5,108,638.

Prime Factor Structure

Factorization String 41 × 127717
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,364,156
Proper Divisor Sum 127,759
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5236393 ← → #5236409

Radix Representation

Decimal 5236397
Binary 10011111110011010101101 (23 bits)
Octal 0o23763255
Hexadecimal 0x4FE6AD

Divisor Catalog (4)

1 41 127,717 5,236,397

Collatz Trajectory (219 steps to reach 1)

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

5,236,397 15,709,192 7,854,596 3,927,298 1,963,649 5,890,948 2,945,474 1,472,737 4,418,212 2,209,106 1,104,553 3,313,660 1,656,830 828,415 2,485,246 1,242,623 3,727,870 1,863,935 5,591,806 2,795,903 8,387,710 4,193,855 12,581,566 6,290,783 18,872,350 9,436,175 28,308,526 14,154,263 42,462,790 21,231,395 63,694,186 31,847,093 95,541,280 47,770,640 23,885,320 11,942,660 5,971,330 2,985,665 8,956,996 4,478,498 2,239,249 6,717,748 3,358,874 1,679,437 5,038,312 2,519,156 1,259,578 629,789 1,889,368 944,684 472,342 236,171 708,514 354,257 1,062,772 531,386 265,693 797,080 398,540 199,270

More profiles

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