λ
Harmonic Matrix

6,212,005

5 × 101 × 12301
Deficient Odd Composite

6,212,005 has digital root 7. The neighboring primes are 6211981 and 6212009; its proper-divisor sum differs from the starting integer by -4,895,186.

Prime Factor Structure

Factorization String 5 × 101 × 12301
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,528,824
Proper Divisor Sum 1,316,819
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #6211981 ← → #6212009

Radix Representation

Decimal 6212005
Binary 10111101100100110100101 (23 bits)
Octal 0o27544645
Hexadecimal 0x5EC9A5

Divisor Catalog (8)

1 5 101 505 12,301 61,505 1,242,401 6,212,005

Collatz Trajectory (134 steps to reach 1)

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

6,212,005 18,636,016 9,318,008 4,659,004 2,329,502 1,164,751 3,494,254 1,747,127 5,241,382 2,620,691 7,862,074 3,931,037 11,793,112 5,896,556 2,948,278 1,474,139 4,422,418 2,211,209 6,633,628 3,316,814 1,658,407 4,975,222 2,487,611 7,462,834 3,731,417 11,194,252 5,597,126 2,798,563 8,395,690 4,197,845 12,593,536 6,296,768 3,148,384 1,574,192 787,096 393,548 196,774 98,387 295,162 147,581 442,744 221,372 110,686 55,343 166,030 83,015 249,046 124,523 373,570 186,785 560,356 280,178 140,089 420,268 210,134 105,067 315,202 157,601 472,804 236,402

More profiles

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