λ
Harmonic Matrix

3,141,275

52 × 125651
Deficient Odd Composite

3,141,275 has digital root 5. The neighboring primes are 3141269 and 3141283; its proper-divisor sum differs from the starting integer by -2,387,338.

Prime Factor Structure

Factorization String 5^2 × 125651
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 3,895,212
Proper Divisor Sum 753,937
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3141269 ← → #3141283

Radix Representation

Decimal 3141275
Binary 1011111110111010011011 (22 bits)
Octal 0o13767233
Hexadecimal 0x2FEE9B

Divisor Catalog (6)

1 5 25 125,651 628,255 3,141,275

Collatz Trajectory (133 steps to reach 1)

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

3,141,275 9,423,826 4,711,913 14,135,740 7,067,870 3,533,935 10,601,806 5,300,903 15,902,710 7,951,355 23,854,066 11,927,033 35,781,100 17,890,550 8,945,275 26,835,826 13,417,913 40,253,740 20,126,870 10,063,435 30,190,306 15,095,153 45,285,460 22,642,730 11,321,365 33,964,096 16,982,048 8,491,024 4,245,512 2,122,756 1,061,378 530,689 1,592,068 796,034 398,017 1,194,052 597,026 298,513 895,540 447,770 223,885 671,656 335,828 167,914 83,957 251,872 125,936 62,968 31,484 15,742 7,871 23,614 11,807 35,422 17,711 53,134 26,567 79,702 39,851 119,554

More profiles

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