λ
Harmonic Matrix

6,461,770

2 × 5 × 7 × 92311
Abundant Even Composite

6,461,770 has digital root 4. The neighboring primes are 6461761 and 6461773; its proper-divisor sum differs from the starting integer by 369,388.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 92311
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,292,928
Proper Divisor Sum 6,831,158
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6461761 ← → #6461773

Radix Representation

Decimal 6461770
Binary 11000101001100101001010 (23 bits)
Octal 0o30514512
Hexadecimal 0x62994A

Divisor Catalog (16)

1 2 5 7 10 14 35 70 92,311 184,622 461,555 646,177 923,110 1,292,354 3,230,885 6,461,770

Collatz Trajectory (209 steps to reach 1)

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

6,461,770 3,230,885 9,692,656 4,846,328 2,423,164 1,211,582 605,791 1,817,374 908,687 2,726,062 1,363,031 4,089,094 2,044,547 6,133,642 3,066,821 9,200,464 4,600,232 2,300,116 1,150,058 575,029 1,725,088 862,544 431,272 215,636 107,818 53,909 161,728 80,864 40,432 20,216 10,108 5,054 2,527 7,582 3,791 11,374 5,687 17,062 8,531 25,594 12,797 38,392 19,196 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006

More profiles

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