λ
Harmonic Matrix

1,514,097

32 × 13 × 12941
Deficient Odd Composite

1,514,097 has digital root 9. The neighboring primes are 1514063 and 1514099; its proper-divisor sum differs from the starting integer by -672,750.

Prime Factor Structure

Factorization String 3^2 × 13 × 12941
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,355,444
Proper Divisor Sum 841,347
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1514063 ← → #1514099

Radix Representation

Decimal 1514097
Binary 101110001101001110001 (21 bits)
Octal 0o5615161
Hexadecimal 0x171A71

Divisor Catalog (12)

1 3 9 13 39 117 12,941 38,823 116,469 168,233 504,699 1,514,097

Collatz Trajectory (88 steps to reach 1)

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

1,514,097 4,542,292 2,271,146 1,135,573 3,406,720 1,703,360 851,680 425,840 212,920 106,460 53,230 26,615 79,846 39,923 119,770 59,885 179,656 89,828 44,914 22,457 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

More profiles

← Previous Integer #1,514,096 Browse Full Index Next Integer #1,514,098 →