λ
Prime Ledger

6,100,829

7 × 73 × 11939
Deficient Odd Composite

6,100,829 has the prime decomposition 7 × 73 × 11939. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 73 × 11939
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,068,480
Proper Divisor Sum 967,651
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6100823 ← → #6100847

Radix Representation

Decimal 6100829
Binary 10111010001011101011101 (23 bits)
Octal 0o27213535
Hexadecimal 0x5D175D

Divisor Catalog (8)

1 7 73 511 11,939 83,573 871,547 6,100,829

Collatz Trajectory (196 steps to reach 1)

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

6,100,829 18,302,488 9,151,244 4,575,622 2,287,811 6,863,434 3,431,717 10,295,152 5,147,576 2,573,788 1,286,894 643,447 1,930,342 965,171 2,895,514 1,447,757 4,343,272 2,171,636 1,085,818 542,909 1,628,728 814,364 407,182 203,591 610,774 305,387 916,162 458,081 1,374,244 687,122 343,561 1,030,684 515,342 257,671 773,014 386,507 1,159,522 579,761 1,739,284 869,642 434,821 1,304,464 652,232 326,116 163,058 81,529 244,588 122,294 61,147 183,442 91,721 275,164 137,582 68,791 206,374 103,187 309,562 154,781 464,344 232,172

More profiles

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