λ
Harmonic Matrix

1,077,952

26 × 16843
Deficient Even Composite

1,077,952 has digital root 4. The neighboring primes are 1077943 and 1077971; its proper-divisor sum differs from the starting integer by -16,716.

Prime Factor Structure

Factorization String 2^6 × 16843
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 2,139,188
Proper Divisor Sum 1,061,236
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1077943 ← → #1077971

Radix Representation

Decimal 1077952
Binary 100000111001011000000 (21 bits)
Octal 0o4071300
Hexadecimal 0x1072C0

Divisor Catalog (14)

1 2 4 8 16 32 64 16,843 33,686 67,372 134,744 269,488 538,976 1,077,952

Collatz Trajectory (72 steps to reach 1)

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

1,077,952 538,976 269,488 134,744 67,372 33,686 16,843 50,530 25,265 75,796 37,898 18,949 56,848 28,424 14,212 7,106 3,553 10,660 5,330 2,665 7,996 3,998 1,999 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34

More profiles

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