1,507,016

2³ × 7 × 17 × 1583

1,507,016 factors as 2^3 × 7 × 17 × 1583. Its 32 positive divisors give a proper-divisor sum of 1,914,424, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 17 × 1583

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,421,440

Proper Divisor Sum 1,914,424

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #1507007 ← → #1507019

Radix Representation

Decimal	1507016
Binary	101101111111011001000 (21 bits)
Octal	0o5577310
Hexadecimal	0x16FEC8

Divisor Catalog (32)

1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 1,583 3,166 6,332 11,081 12,664 22,162 26,911 44,324 53,822 88,648 107,644 188,377 215,288 376,754 753,508 1,507,016

Collatz Trajectory (181 steps to reach 1)

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

1,507,016 753,508 376,754 188,377 565,132 282,566 141,283 423,850 211,925 635,776 317,888 158,944 79,472 39,736 19,868 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555 22,666 11,333 34,000 17,000 8,500 4,250 2,125 6,376 3,188 1,594

More profiles

5,283,229 4,851,013 3,003,250 9,570,748 9,771,289 4,556,418 2,159,531 3,515,927 2,375,806 7,732,317 2,748,686 3,967,176 6,541,490 7,561,466 189,782 1,245,786

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