λ
Sequence Observatory

4,532,398

2 × 13 × 47 × 3709
Deficient Even Composite

Starting at 4,532,398, the Collatz iteration reaches 1 after 87 steps. The first transition is 2266199; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 47 × 3709
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,479,360
Proper Divisor Sum 2,946,962
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4532377 ← → #4532399

Radix Representation

Decimal 4532398
Binary 10001010010100010101110 (23 bits)
Octal 0o21224256
Hexadecimal 0x4528AE

Divisor Catalog (16)

1 2 13 26 47 94 611 1,222 3,709 7,418 48,217 96,434 174,323 348,646 2,266,199 4,532,398

Collatz Trajectory (87 steps to reach 1)

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

4,532,398 2,266,199 6,798,598 3,399,299 10,197,898 5,098,949 15,296,848 7,648,424 3,824,212 1,912,106 956,053 2,868,160 1,434,080 717,040 358,520 179,260 89,630 44,815 134,446 67,223 201,670 100,835 302,506 151,253 453,760 226,880 113,440 56,720 28,360 14,180 7,090 3,545 10,636 5,318 2,659 7,978 3,989 11,968 5,984 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808

More profiles

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