λ
Prime Ledger

2,635,113

3 × 13 × 67567
Deficient Odd Composite

2,635,113 has the prime decomposition 3 × 13 × 67567. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 67567
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,783,808
Proper Divisor Sum 1,148,695
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2635109 ← → #2635121

Radix Representation

Decimal 2635113
Binary 1010000011010101101001 (22 bits)
Octal 0o12032551
Hexadecimal 0x283569

Divisor Catalog (8)

1 3 13 39 67,567 202,701 878,371 2,635,113

Collatz Trajectory (94 steps to reach 1)

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

2,635,113 7,905,340 3,952,670 1,976,335 5,929,006 2,964,503 8,893,510 4,446,755 13,340,266 6,670,133 20,010,400 10,005,200 5,002,600 2,501,300 1,250,650 625,325 1,875,976 937,988 468,994 234,497 703,492 351,746 175,873 527,620 263,810 131,905 395,716 197,858 98,929 296,788 148,394 74,197 222,592 111,296 55,648 27,824 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794

More profiles

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