λ
Harmonic Matrix

6,695,949

3 × 132 × 47 × 281
Deficient Odd Composite

6,695,949 has digital root 3. The neighboring primes are 6695947 and 6695951; its proper-divisor sum differs from the starting integer by -3,483,546.

Prime Factor Structure

Factorization String 3 × 13^2 × 47 × 281
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,908,352
Proper Divisor Sum 3,212,403
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #6695947 ← → #6695951

Radix Representation

Decimal 6695949
Binary 11001100010110000001101 (23 bits)
Octal 0o31426015
Hexadecimal 0x662C0D

Divisor Catalog (24)

1 3 13 39 47 141 169 281 507 611 843 1,833 3,653 7,943 10,959 13,207 23,829 39,621 47,489 142,467 171,691 515,073 2,231,983 6,695,949

Collatz Trajectory (178 steps to reach 1)

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

6,695,949 20,087,848 10,043,924 5,021,962 2,510,981 7,532,944 3,766,472 1,883,236 941,618 470,809 1,412,428 706,214 353,107 1,059,322 529,661 1,588,984 794,492 397,246 198,623 595,870 297,935 893,806 446,903 1,340,710 670,355 2,011,066 1,005,533 3,016,600 1,508,300 754,150 377,075 1,131,226 565,613 1,696,840 848,420 424,210 212,105 636,316 318,158 159,079 477,238 238,619 715,858 357,929 1,073,788 536,894 268,447 805,342 402,671 1,208,014 604,007 1,812,022 906,011 2,718,034 1,359,017 4,077,052 2,038,526 1,019,263 3,057,790 1,528,895

More profiles

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