λ
Sequence Observatory

3,521,871

32 × 113 × 3463
Deficient Odd Composite

Starting at 3,521,871, the Collatz iteration reaches 1 after 97 steps. The first transition is 10565614; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 113 × 3463
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,133,648
Proper Divisor Sum 1,611,777
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3521867 ← → #3521909

Radix Representation

Decimal 3521871
Binary 1101011011110101001111 (22 bits)
Octal 0o15336517
Hexadecimal 0x35BD4F

Divisor Catalog (12)

1 3 9 113 339 1,017 3,463 10,389 31,167 391,319 1,173,957 3,521,871

Collatz Trajectory (97 steps to reach 1)

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

3,521,871 10,565,614 5,282,807 15,848,422 7,924,211 23,772,634 11,886,317 35,658,952 17,829,476 8,914,738 4,457,369 13,372,108 6,686,054 3,343,027 10,029,082 5,014,541 15,043,624 7,521,812 3,760,906 1,880,453 5,641,360 2,820,680 1,410,340 705,170 352,585 1,057,756 528,878 264,439 793,318 396,659 1,189,978 594,989 1,784,968 892,484 446,242 223,121 669,364 334,682 167,341 502,024 251,012 125,506 62,753 188,260 94,130 47,065 141,196 70,598 35,299 105,898 52,949 158,848 79,424 39,712 19,856 9,928 4,964 2,482 1,241 3,724

More profiles

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