λ
Harmonic Matrix

5,137,933

109 × 47137
Deficient Odd Composite

5,137,933 has digital root 4. The neighboring primes are 5137921 and 5137939; its proper-divisor sum differs from the starting integer by -5,090,686.

Prime Factor Structure

Factorization String 109 × 47137
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,185,180
Proper Divisor Sum 47,247
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5137921 ← → #5137939

Radix Representation

Decimal 5137933
Binary 10011100110011000001101 (23 bits)
Octal 0o23463015
Hexadecimal 0x4E660D

Divisor Catalog (4)

1 109 47,137 5,137,933

Collatz Trajectory (219 steps to reach 1)

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

5,137,933 15,413,800 7,706,900 3,853,450 1,926,725 5,780,176 2,890,088 1,445,044 722,522 361,261 1,083,784 541,892 270,946 135,473 406,420 203,210 101,605 304,816 152,408 76,204 38,102 19,051 57,154 28,577 85,732 42,866 21,433 64,300 32,150 16,075 48,226 24,113 72,340 36,170 18,085 54,256 27,128 13,564 6,782 3,391 10,174 5,087 15,262 7,631 22,894 11,447 34,342 17,171 51,514 25,757 77,272 38,636 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602

More profiles

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