λ
Sigma Notebook

2,915,664

24 × 3 × 19 × 23 × 139
Abundant Even Composite

2,915,664 is even and not a perfect square. Its factorization is 2^4 × 3 × 19 × 23 × 139 and its 80 divisors sum to 8,332,800.

Prime Factor Structure

Factorization String 2^4 × 3 × 19 × 23 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 8,332,800
Proper Divisor Sum 5,417,136
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2915663 ← → #2915677

Radix Representation

Decimal 2915664
Binary 1011000111110101010000 (22 bits)
Octal 0o13076520
Hexadecimal 0x2C7D50

Divisor Catalog (60 of 80)

1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 114 138 139 152 184 228 276 278 304 368 417 437 456 552 556 834 874 912 1,104 1,112 1,311 1,668 1,748 2,224 2,622 2,641 3,197 3,336 3,496 5,244 5,282 6,394 6,672 6,992 7,923 9,591 10,488 10,564 12,788 15,846 19,182 20,976

Collatz Trajectory (182 steps to reach 1)

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

2,915,664 1,457,832 728,916 364,458 182,229 546,688 273,344 136,672 68,336 34,168 17,084 8,542 4,271 12,814 6,407 19,222 9,611 28,834 14,417 43,252 21,626 10,813 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515

More profiles

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