λ
Sigma Notebook

1,772,528

24 × 139 × 797
Deficient Even Composite

1,772,528 is even and not a perfect square. Its factorization is 2^4 × 139 × 797 and its 20 divisors sum to 3,463,320.

Prime Factor Structure

Factorization String 2^4 × 139 × 797
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 3,463,320
Proper Divisor Sum 1,690,792
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1772501 ← → #1772531

Radix Representation

Decimal 1772528
Binary 110110000101111110000 (21 bits)
Octal 0o6605760
Hexadecimal 0x1B0BF0

Divisor Catalog (20)

1 2 4 8 16 139 278 556 797 1,112 1,594 2,224 3,188 6,376 12,752 110,783 221,566 443,132 886,264 1,772,528

Collatz Trajectory (158 steps to reach 1)

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

1,772,528 886,264 443,132 221,566 110,783 332,350 166,175 498,526 249,263 747,790 373,895 1,121,686 560,843 1,682,530 841,265 2,523,796 1,261,898 630,949 1,892,848 946,424 473,212 236,606 118,303 354,910 177,455 532,366 266,183 798,550 399,275 1,197,826 598,913 1,796,740 898,370 449,185 1,347,556 673,778 336,889 1,010,668 505,334 252,667 758,002 379,001 1,137,004 568,502 284,251 852,754 426,377 1,279,132 639,566 319,783 959,350 479,675 1,439,026 719,513 2,158,540 1,079,270 539,635 1,618,906 809,453 2,428,360

More profiles

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