λ
Sigma Notebook

1,435,100

22 × 52 × 113 × 127
Abundant Even Composite

1,435,100 is even and not a perfect square. Its factorization is 2^2 × 5^2 × 113 × 127 and its 36 divisors sum to 3,166,464.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 113 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,166,464
Proper Divisor Sum 1,731,364
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #1435097 ← → #1435103

Radix Representation

Decimal 1435100
Binary 101011110010111011100 (21 bits)
Octal 0o5362734
Hexadecimal 0x15E5DC

Divisor Catalog (36)

1 2 4 5 10 20 25 50 100 113 127 226 254 452 508 565 635 1,130 1,270 2,260 2,540 2,825 3,175 5,650 6,350 11,300 12,700 14,351 28,702 57,404 71,755 143,510 287,020 358,775 717,550 1,435,100

Collatz Trajectory (124 steps to reach 1)

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

1,435,100 717,550 358,775 1,076,326 538,163 1,614,490 807,245 2,421,736 1,210,868 605,434 302,717 908,152 454,076 227,038 113,519 340,558 170,279 510,838 255,419 766,258 383,129 1,149,388 574,694 287,347 862,042 431,021 1,293,064 646,532 323,266 161,633 484,900 242,450 121,225 363,676 181,838 90,919 272,758 136,379 409,138 204,569 613,708 306,854 153,427 460,282 230,141 690,424 345,212 172,606 86,303 258,910 129,455 388,366 194,183 582,550 291,275 873,826 436,913 1,310,740 655,370 327,685

More profiles

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