1,505,623

7² × 30727

1,505,623 factors as 7^2 × 30727. Its 6 positive divisors give a proper-divisor sum of 245,873, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 7^2 × 30727

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,751,496

Proper Divisor Sum 245,873

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1505611 ← → #1505657

Radix Representation

Decimal	1505623
Binary	101101111100101010111 (21 bits)
Octal	0o5574527
Hexadecimal	0x16F957

Divisor Catalog (6)

1 7 49 30,727 215,089 1,505,623

Collatz Trajectory (194 steps to reach 1)

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

1,505,623 4,516,870 2,258,435 6,775,306 3,387,653 10,162,960 5,081,480 2,540,740 1,270,370 635,185 1,905,556 952,778 476,389 1,429,168 714,584 357,292 178,646 89,323 267,970 133,985 401,956 200,978 100,489 301,468 150,734 75,367 226,102 113,051 339,154 169,577 508,732 254,366 127,183 381,550 190,775 572,326 286,163 858,490 429,245 1,287,736 643,868 321,934 160,967 482,902 241,451 724,354 362,177 1,086,532 543,266 271,633 814,900 407,450 203,725 611,176 305,588 152,794 76,397 229,192 114,596 57,298

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