λ
Sequence Observatory

5,355,467

13 × 31 × 97 × 137
Deficient Odd Composite

Starting at 5,355,467, the Collatz iteration reaches 1 after 157 steps. The first transition is 16066402; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 13 × 31 × 97 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,058,752
Proper Divisor Sum 703,285
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5355451 ← → #5355479

Radix Representation

Decimal 5355467
Binary 10100011011011111001011 (23 bits)
Octal 0o24333713
Hexadecimal 0x51B7CB

Divisor Catalog (16)

1 13 31 97 137 403 1,261 1,781 3,007 4,247 13,289 39,091 55,211 172,757 411,959 5,355,467

Collatz Trajectory (157 steps to reach 1)

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

5,355,467 16,066,402 8,033,201 24,099,604 12,049,802 6,024,901 18,074,704 9,037,352 4,518,676 2,259,338 1,129,669 3,389,008 1,694,504 847,252 423,626 211,813 635,440 317,720 158,860 79,430 39,715 119,146 59,573 178,720 89,360 44,680 22,340 11,170 5,585 16,756 8,378 4,189 12,568 6,284 3,142 1,571 4,714 2,357 7,072 3,536 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161

More profiles

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