λ
Harmonic Matrix

3,151,023

3 × 23 × 45667
Deficient Odd Composite

3,151,023 has digital root 6. The neighboring primes are 3151007 and 3151033; its proper-divisor sum differs from the starting integer by -1,917,918.

Prime Factor Structure

Factorization String 3 × 23 × 45667
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,384,128
Proper Divisor Sum 1,233,105
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #3151007 ← → #3151033

Radix Representation

Decimal 3151023
Binary 1100000001010010101111 (22 bits)
Octal 0o14012257
Hexadecimal 0x3014AF

Divisor Catalog (8)

1 3 23 69 45,667 137,001 1,050,341 3,151,023

Collatz Trajectory (133 steps to reach 1)

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

3,151,023 9,453,070 4,726,535 14,179,606 7,089,803 21,269,410 10,634,705 31,904,116 15,952,058 7,976,029 23,928,088 11,964,044 5,982,022 2,991,011 8,973,034 4,486,517 13,459,552 6,729,776 3,364,888 1,682,444 841,222 420,611 1,261,834 630,917 1,892,752 946,376 473,188 236,594 118,297 354,892 177,446 88,723 266,170 133,085 399,256 199,628 99,814 49,907 149,722 74,861 224,584 112,292 56,146 28,073 84,220 42,110 21,055 63,166 31,583 94,750 47,375 142,126 71,063 213,190 106,595 319,786 159,893 479,680 239,840 119,920

More profiles

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