λ
Sigma Notebook

6,388,073

17 × 6132
Deficient Odd Composite

6,388,073 is odd and not a perfect square. Its factorization is 17 × 613^2 and its 6 divisors sum to 6,774,894.

Prime Factor Structure

Factorization String 17 × 613^2
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 6,774,894
Proper Divisor Sum 386,821
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6388069 ← → #6388121

Radix Representation

Decimal 6388073
Binary 11000010111100101101001 (23 bits)
Octal 0o30274551
Hexadecimal 0x617969

Divisor Catalog (6)

1 17 613 10,421 375,769 6,388,073

Collatz Trajectory (121 steps to reach 1)

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

6,388,073 19,164,220 9,582,110 4,791,055 14,373,166 7,186,583 21,559,750 10,779,875 32,339,626 16,169,813 48,509,440 24,254,720 12,127,360 6,063,680 3,031,840 1,515,920 757,960 378,980 189,490 94,745 284,236 142,118 71,059 213,178 106,589 319,768 159,884 79,942 39,971 119,914 59,957 179,872 89,936 44,968 22,484 11,242 5,621 16,864 8,432 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132

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