λ
Harmonic Matrix

7,077,963

3 × 857 × 2753
Deficient Odd Composite

7,077,963 has digital root 3. The neighboring primes are 7077923 and 7077971; its proper-divisor sum differs from the starting integer by -4,704,198.

Prime Factor Structure

Factorization String 3 × 857 × 2753
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,451,728
Proper Divisor Sum 2,373,765
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7077923 ← → #7077971

Radix Representation

Decimal 7077963
Binary 11011000000000001001011 (23 bits)
Octal 0o33000113
Hexadecimal 0x6C004B

Divisor Catalog (8)

1 3 857 2,571 2,753 8,259 2,359,321 7,077,963

Collatz Trajectory (98 steps to reach 1)

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

7,077,963 21,233,890 10,616,945 31,850,836 15,925,418 7,962,709 23,888,128 11,944,064 5,972,032 2,986,016 1,493,008 746,504 373,252 186,626 93,313 279,940 139,970 69,985 209,956 104,978 52,489 157,468 78,734 39,367 118,102 59,051 177,154 88,577 265,732 132,866 66,433 199,300 99,650 49,825 149,476 74,738 37,369 112,108 56,054 28,027 84,082 42,041 126,124 63,062 31,531 94,594 47,297 141,892 70,946 35,473 106,420 53,210 26,605 79,816 39,908 19,954 9,977 29,932 14,966 7,483

More profiles

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