λ
Harmonic Matrix

6,203,613

3 × 13 × 73 × 2179
Deficient Odd Composite

6,203,613 has digital root 3. The neighboring primes are 6203609 and 6203621; its proper-divisor sum differs from the starting integer by -3,373,306.

Prime Factor Structure

Factorization String 3 × 13 × 73 × 2179
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,033,920
Proper Divisor Sum 2,830,307
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #6203609 ← → #6203621

Radix Representation

Decimal 6203613
Binary 10111101010100011011101 (23 bits)
Octal 0o27524335
Hexadecimal 0x5EA8DD

Divisor Catalog (16)

1 3 13 39 73 219 949 2,179 2,847 6,537 28,327 84,981 159,067 477,201 2,067,871 6,203,613

Collatz Trajectory (165 steps to reach 1)

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

6,203,613 18,610,840 9,305,420 4,652,710 2,326,355 6,979,066 3,489,533 10,468,600 5,234,300 2,617,150 1,308,575 3,925,726 1,962,863 5,888,590 2,944,295 8,832,886 4,416,443 13,249,330 6,624,665 19,873,996 9,936,998 4,968,499 14,905,498 7,452,749 22,358,248 11,179,124 5,589,562 2,794,781 8,384,344 4,192,172 2,096,086 1,048,043 3,144,130 1,572,065 4,716,196 2,358,098 1,179,049 3,537,148 1,768,574 884,287 2,652,862 1,326,431 3,979,294 1,989,647 5,968,942 2,984,471 8,953,414 4,476,707 13,430,122 6,715,061 20,145,184 10,072,592 5,036,296 2,518,148 1,259,074 629,537 1,888,612 944,306 472,153 1,416,460

More profiles

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