λ
Harmonic Matrix

3,132,262

2 × 7 × 229 × 977
Deficient Even Composite

3,132,262 has digital root 1. The neighboring primes are 3132257 and 3132263; its proper-divisor sum differs from the starting integer by -865,964.

Prime Factor Structure

Factorization String 2 × 7 × 229 × 977
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,398,560
Proper Divisor Sum 2,266,298
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3132257 ← → #3132263

Radix Representation

Decimal 3132262
Binary 1011111100101101100110 (22 bits)
Octal 0o13745546
Hexadecimal 0x2FCB66

Divisor Catalog (16)

1 2 7 14 229 458 977 1,603 1,954 3,206 6,839 13,678 223,733 447,466 1,566,131 3,132,262

Collatz Trajectory (177 steps to reach 1)

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

3,132,262 1,566,131 4,698,394 2,349,197 7,047,592 3,523,796 1,761,898 880,949 2,642,848 1,321,424 660,712 330,356 165,178 82,589 247,768 123,884 61,942 30,971 92,914 46,457 139,372 69,686 34,843 104,530 52,265 156,796 78,398 39,199 117,598 58,799 176,398 88,199 264,598 132,299 396,898 198,449 595,348 297,674 148,837 446,512 223,256 111,628 55,814 27,907 83,722 41,861 125,584 62,792 31,396 15,698 7,849 23,548 11,774 5,887 17,662 8,831 26,494 13,247 39,742 19,871

More profiles

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