λ
Prime Ledger

3,139,452

22 × 33 × 41 × 709
Abundant Even Composite

3,139,452 has the prime decomposition 2^2 × 3^3 × 41 × 709. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 41 × 709
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,349,600
Proper Divisor Sum 5,210,148
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3139447 ← → #3139471

Radix Representation

Decimal 3139452
Binary 1011111110011101111100 (22 bits)
Octal 0o13763574
Hexadecimal 0x2FE77C

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 709 738 1,107 1,418 1,476 2,127 2,214 2,836 4,254 4,428 6,381 8,508 12,762 19,143 25,524 29,069 38,286 58,138 76,572 87,207 116,276 174,414 261,621 348,828 523,242 784,863 1,046,484 1,569,726 3,139,452

Collatz Trajectory (138 steps to reach 1)

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

3,139,452 1,569,726 784,863 2,354,590 1,177,295 3,531,886 1,765,943 5,297,830 2,648,915 7,946,746 3,973,373 11,920,120 5,960,060 2,980,030 1,490,015 4,470,046 2,235,023 6,705,070 3,352,535 10,057,606 5,028,803 15,086,410 7,543,205 22,629,616 11,314,808 5,657,404 2,828,702 1,414,351 4,243,054 2,121,527 6,364,582 3,182,291 9,546,874 4,773,437 14,320,312 7,160,156 3,580,078 1,790,039 5,370,118 2,685,059 8,055,178 4,027,589 12,082,768 6,041,384 3,020,692 1,510,346 755,173 2,265,520 1,132,760 566,380 283,190 141,595 424,786 212,393 637,180 318,590 159,295 477,886 238,943 716,830

More profiles

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