λ
Harmonic Matrix

6,021,021

3 × 193 × 10399
Deficient Odd Composite

6,021,021 has digital root 3. The neighboring primes are 6021019 and 6021053; its proper-divisor sum differs from the starting integer by -3,971,642.

Prime Factor Structure

Factorization String 3 × 193 × 10399
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,070,400
Proper Divisor Sum 2,049,379
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #6021019 ← → #6021053

Radix Representation

Decimal 6021021
Binary 10110111101111110011101 (23 bits)
Octal 0o26757635
Hexadecimal 0x5BDF9D

Divisor Catalog (8)

1 3 193 579 10,399 31,197 2,007,007 6,021,021

Collatz Trajectory (289 steps to reach 1)

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

6,021,021 18,063,064 9,031,532 4,515,766 2,257,883 6,773,650 3,386,825 10,160,476 5,080,238 2,540,119 7,620,358 3,810,179 11,430,538 5,715,269 17,145,808 8,572,904 4,286,452 2,143,226 1,071,613 3,214,840 1,607,420 803,710 401,855 1,205,566 602,783 1,808,350 904,175 2,712,526 1,356,263 4,068,790 2,034,395 6,103,186 3,051,593 9,154,780 4,577,390 2,288,695 6,866,086 3,433,043 10,299,130 5,149,565 15,448,696 7,724,348 3,862,174 1,931,087 5,793,262 2,896,631 8,689,894 4,344,947 13,034,842 6,517,421 19,552,264 9,776,132 4,888,066 2,444,033 7,332,100 3,666,050 1,833,025 5,499,076 2,749,538 1,374,769

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