λ
Prime Ledger

4,345,107

3 × 13 × 43 × 2591
Deficient Odd Composite

4,345,107 has the prime decomposition 3 × 13 × 43 × 2591. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 43 × 2591
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,386,688
Proper Divisor Sum 2,041,581
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4345097 ← → #4345111

Radix Representation

Decimal 4345107
Binary 10000100100110100010011 (23 bits)
Octal 0o20446423
Hexadecimal 0x424D13

Divisor Catalog (16)

1 3 13 39 43 129 559 1,677 2,591 7,773 33,683 101,049 111,413 334,239 1,448,369 4,345,107

Collatz Trajectory (167 steps to reach 1)

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

4,345,107 13,035,322 6,517,661 19,552,984 9,776,492 4,888,246 2,444,123 7,332,370 3,666,185 10,998,556 5,499,278 2,749,639 8,248,918 4,124,459 12,373,378 6,186,689 18,560,068 9,280,034 4,640,017 13,920,052 6,960,026 3,480,013 10,440,040 5,220,020 2,610,010 1,305,005 3,915,016 1,957,508 978,754 489,377 1,468,132 734,066 367,033 1,101,100 550,550 275,275 825,826 412,913 1,238,740 619,370 309,685 929,056 464,528 232,264 116,132 58,066 29,033 87,100 43,550 21,775 65,326 32,663 97,990 48,995 146,986 73,493 220,480 110,240 55,120 27,560

More profiles

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