λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,006,472

2,006,472

23 × 3 × 13 × 59 × 109
Abundant Even Composite

2,006,472 factors as 2^3 × 3 × 13 × 59 × 109. Its 64 positive divisors give a proper-divisor sum of 3,537,528, so this integer is abundant. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 59 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 5,544,000
Proper Divisor Sum 3,537,528
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2006461 ← → #2006483

Radix Representation

Decimal 2006472
Binary 111101001110111001000 (21 bits)
Octal 0o7516710
Hexadecimal 0x1E9DC8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 13 24 26 39 52 59 78 104 109 118 156 177 218 236 312 327 354 436 472 654 708 767 872 1,308 1,416 1,417 1,534 2,301 2,616 2,834 3,068 4,251 4,602 5,668 6,136 6,431 8,502 9,204 11,336 12,862 17,004 18,408 19,293 25,724 34,008 38,586 51,448 77,172 83,603 154,344 167,206 250,809 334,412

Collatz Trajectory (140 steps to reach 1)

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

2,006,472 1,003,236 501,618 250,809 752,428 376,214 188,107 564,322 282,161 846,484 423,242 211,621 634,864 317,432 158,716 79,358 39,679 119,038 59,519 178,558 89,279 267,838 133,919 401,758 200,879 602,638 301,319 903,958 451,979 1,355,938 677,969 2,033,908 1,016,954 508,477 1,525,432 762,716 381,358 190,679 572,038 286,019 858,058 429,029 1,287,088 643,544 321,772 160,886 80,443 241,330 120,665 361,996 180,998 90,499 271,498 135,749 407,248 203,624 101,812 50,906 25,453 76,360

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #2,006,471 Browse Full Index Next Integer #2,006,473 →