λ
Prime Ledger

4,047,579

32 × 167 × 2693
Deficient Odd Composite

4,047,579 has the prime decomposition 3^2 × 167 × 2693. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 167 × 2693
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,883,696
Proper Divisor Sum 1,836,117
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4047569 ← → #4047583

Radix Representation

Decimal 4047579
Binary 1111011100001011011011 (22 bits)
Octal 0o17341333
Hexadecimal 0x3DC2DB

Divisor Catalog (12)

1 3 9 167 501 1,503 2,693 8,079 24,237 449,731 1,349,193 4,047,579

Collatz Trajectory (136 steps to reach 1)

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

4,047,579 12,142,738 6,071,369 18,214,108 9,107,054 4,553,527 13,660,582 6,830,291 20,490,874 10,245,437 30,736,312 15,368,156 7,684,078 3,842,039 11,526,118 5,763,059 17,289,178 8,644,589 25,933,768 12,966,884 6,483,442 3,241,721 9,725,164 4,862,582 2,431,291 7,293,874 3,646,937 10,940,812 5,470,406 2,735,203 8,205,610 4,102,805 12,308,416 6,154,208 3,077,104 1,538,552 769,276 384,638 192,319 576,958 288,479 865,438 432,719 1,298,158 649,079 1,947,238 973,619 2,920,858 1,460,429 4,381,288 2,190,644 1,095,322 547,661 1,642,984 821,492 410,746 205,373 616,120 308,060 154,030

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