λ
Harmonic Matrix

1,567,268

22 × 391817
Deficient Even Composite

1,567,268 has digital root 8. The neighboring primes are 1567261 and 1567271; its proper-divisor sum differs from the starting integer by -391,810.

Prime Factor Structure

Factorization String 2^2 × 391817
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 2,742,726
Proper Divisor Sum 1,175,458
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1567261 ← → #1567271

Radix Representation

Decimal 1567268
Binary 101111110101000100100 (21 bits)
Octal 0o5765044
Hexadecimal 0x17EA24

Divisor Catalog (6)

1 2 4 391,817 783,634 1,567,268

Collatz Trajectory (132 steps to reach 1)

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

1,567,268 783,634 391,817 1,175,452 587,726 293,863 881,590 440,795 1,322,386 661,193 1,983,580 991,790 495,895 1,487,686 743,843 2,231,530 1,115,765 3,347,296 1,673,648 836,824 418,412 209,206 104,603 313,810 156,905 470,716 235,358 117,679 353,038 176,519 529,558 264,779 794,338 397,169 1,191,508 595,754 297,877 893,632 446,816 223,408 111,704 55,852 27,926 13,963 41,890 20,945 62,836 31,418 15,709 47,128 23,564 11,782 5,891 17,674 8,837 26,512 13,256 6,628 3,314 1,657

More profiles

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