λ
Harmonic Matrix

5,138,737

131 × 39227
Deficient Odd Composite

5,138,737 has digital root 7. The neighboring primes are 5138719 and 5138747; its proper-divisor sum differs from the starting integer by -5,099,378.

Prime Factor Structure

Factorization String 131 × 39227
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,178,096
Proper Divisor Sum 39,359
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5138719 ← → #5138747

Radix Representation

Decimal 5138737
Binary 10011100110100100110001 (23 bits)
Octal 0o23464461
Hexadecimal 0x4E6931

Divisor Catalog (4)

1 131 39,227 5,138,737

Collatz Trajectory (113 steps to reach 1)

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

5,138,737 15,416,212 7,708,106 3,854,053 11,562,160 5,781,080 2,890,540 1,445,270 722,635 2,167,906 1,083,953 3,251,860 1,625,930 812,965 2,438,896 1,219,448 609,724 304,862 152,431 457,294 228,647 685,942 342,971 1,028,914 514,457 1,543,372 771,686 385,843 1,157,530 578,765 1,736,296 868,148 434,074 217,037 651,112 325,556 162,778 81,389 244,168 122,084 61,042 30,521 91,564 45,782 22,891 68,674 34,337 103,012 51,506 25,753 77,260 38,630 19,315 57,946 28,973 86,920 43,460 21,730 10,865 32,596

More profiles

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