λ
Sequence Observatory

5,652,012

22 × 3 × 449 × 1049
Abundant Even Composite

Starting at 5,652,012, the Collatz iteration reaches 1 after 152 steps. The first transition is 2826006; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 449 × 1049
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,230,000
Proper Divisor Sum 7,577,988
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5652011 ← → #5652019

Radix Representation

Decimal 5652012
Binary 10101100011111000101100 (23 bits)
Octal 0o25437054
Hexadecimal 0x563E2C

Divisor Catalog (24)

1 2 3 4 6 12 449 898 1,049 1,347 1,796 2,098 2,694 3,147 4,196 5,388 6,294 12,588 471,001 942,002 1,413,003 1,884,004 2,826,006 5,652,012

Collatz Trajectory (152 steps to reach 1)

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

5,652,012 2,826,006 1,413,003 4,239,010 2,119,505 6,358,516 3,179,258 1,589,629 4,768,888 2,384,444 1,192,222 596,111 1,788,334 894,167 2,682,502 1,341,251 4,023,754 2,011,877 6,035,632 3,017,816 1,508,908 754,454 377,227 1,131,682 565,841 1,697,524 848,762 424,381 1,273,144 636,572 318,286 159,143 477,430 238,715 716,146 358,073 1,074,220 537,110 268,555 805,666 402,833 1,208,500 604,250 302,125 906,376 453,188 226,594 113,297 339,892 169,946 84,973 254,920 127,460 63,730 31,865 95,596 47,798 23,899 71,698 35,849

More profiles

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