λ
Harmonic Matrix

6,700,946

2 × 72 × 101 × 677
Deficient Even Composite

6,700,946 has digital root 5. The neighboring primes are 6700937 and 6700957; its proper-divisor sum differs from the starting integer by -1,576,216.

Prime Factor Structure

Factorization String 2 × 7^2 × 101 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,825,676
Proper Divisor Sum 5,124,730
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6700937 ← → #6700957

Radix Representation

Decimal 6700946
Binary 11001100011111110010010 (23 bits)
Octal 0o31437622
Hexadecimal 0x663F92

Divisor Catalog (24)

1 2 7 14 49 98 101 202 677 707 1,354 1,414 4,739 4,949 9,478 9,898 33,173 66,346 68,377 136,754 478,639 957,278 3,350,473 6,700,946

Collatz Trajectory (116 steps to reach 1)

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

6,700,946 3,350,473 10,051,420 5,025,710 2,512,855 7,538,566 3,769,283 11,307,850 5,653,925 16,961,776 8,480,888 4,240,444 2,120,222 1,060,111 3,180,334 1,590,167 4,770,502 2,385,251 7,155,754 3,577,877 10,733,632 5,366,816 2,683,408 1,341,704 670,852 335,426 167,713 503,140 251,570 125,785 377,356 188,678 94,339 283,018 141,509 424,528 212,264 106,132 53,066 26,533 79,600 39,800 19,900 9,950 4,975 14,926 7,463 22,390 11,195 33,586 16,793 50,380 25,190 12,595 37,786 18,893 56,680 28,340 14,170 7,085

More profiles

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