λ
Sequence Observatory

5,184,534

2 × 3 × 853 × 1013
Abundant Even Composite

Starting at 5,184,534, the Collatz iteration reaches 1 after 100 steps. The first transition is 2592267; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 853 × 1013
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,391,472
Proper Divisor Sum 5,206,938
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5184497 ← → #5184539

Radix Representation

Decimal 5184534
Binary 10011110001110000010110 (23 bits)
Octal 0o23616026
Hexadecimal 0x4F1C16

Divisor Catalog (16)

1 2 3 6 853 1,013 1,706 2,026 2,559 3,039 5,118 6,078 864,089 1,728,178 2,592,267 5,184,534

Collatz Trajectory (100 steps to reach 1)

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

5,184,534 2,592,267 7,776,802 3,888,401 11,665,204 5,832,602 2,916,301 8,748,904 4,374,452 2,187,226 1,093,613 3,280,840 1,640,420 820,210 410,105 1,230,316 615,158 307,579 922,738 461,369 1,384,108 692,054 346,027 1,038,082 519,041 1,557,124 778,562 389,281 1,167,844 583,922 291,961 875,884 437,942 218,971 656,914 328,457 985,372 492,686 246,343 739,030 369,515 1,108,546 554,273 1,662,820 831,410 415,705 1,247,116 623,558 311,779 935,338 467,669 1,403,008 701,504 350,752 175,376 87,688 43,844 21,922 10,961 32,884

More profiles

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