λ
Harmonic Matrix

4,931,737

107 × 46091
Deficient Odd Composite

4,931,737 has digital root 7. The neighboring primes are 4931699 and 4931749; its proper-divisor sum differs from the starting integer by -4,885,538.

Prime Factor Structure

Factorization String 107 × 46091
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,977,936
Proper Divisor Sum 46,199
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4931699 ← → #4931749

Radix Representation

Decimal 4931737
Binary 10010110100000010011001 (23 bits)
Octal 0o22640231
Hexadecimal 0x4B4099

Divisor Catalog (4)

1 107 46,091 4,931,737

Collatz Trajectory (82 steps to reach 1)

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

4,931,737 14,795,212 7,397,606 3,698,803 11,096,410 5,548,205 16,644,616 8,322,308 4,161,154 2,080,577 6,241,732 3,120,866 1,560,433 4,681,300 2,340,650 1,170,325 3,510,976 1,755,488 877,744 438,872 219,436 109,718 54,859 164,578 82,289 246,868 123,434 61,717 185,152 92,576 46,288 23,144 11,572 5,786 2,893 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148

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