λ
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1,504,698

2 × 3 × 13 × 101 × 191
Abundant Even Composite

1,504,698 factors as 2 × 3 × 13 × 101 × 191. Its 32 positive divisors give a proper-divisor sum of 1,785,414, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 101 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,290,112
Proper Divisor Sum 1,785,414
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1504697 ← → #1504717

Radix Representation

Decimal 1504698
Binary 101101111010110111010 (21 bits)
Octal 0o5572672
Hexadecimal 0x16F5BA

Divisor Catalog (32)

1 2 3 6 13 26 39 78 101 191 202 303 382 573 606 1,146 1,313 2,483 2,626 3,939 4,966 7,449 7,878 14,898 19,291 38,582 57,873 115,746 250,783 501,566 752,349 1,504,698

Collatz Trajectory (62 steps to reach 1)

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

1,504,698 752,349 2,257,048 1,128,524 564,262 282,131 846,394 423,197 1,269,592 634,796 317,398 158,699 476,098 238,049 714,148 357,074 178,537 535,612 267,806 133,903 401,710 200,855 602,566 301,283 903,850 451,925 1,355,776 677,888 338,944 169,472 84,736 42,368 21,184 10,592 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8

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