λ
Sequence Observatory

8,798,496

25 × 3 × 7 × 13093
Abundant Even Composite

Starting at 8,798,496, the Collatz iteration reaches 1 after 88 steps. The first transition is 4399248; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 13093
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,397,504
Proper Divisor Sum 17,599,008
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #8798483 ← → #8798509

Radix Representation

Decimal 8798496
Binary 100001100100000100100000 (24 bits)
Octal 0o41440440
Hexadecimal 0x864120

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 13,093 26,186 39,279 52,372 78,558 91,651 104,744 157,116 183,302 209,488 274,953 314,232 366,604 418,976 549,906 628,464 733,208 1,099,812 1,256,928 1,466,416 2,199,624 2,932,832 4,399,248 8,798,496

Collatz Trajectory (88 steps to reach 1)

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

8,798,496 4,399,248 2,199,624 1,099,812 549,906 274,953 824,860 412,430 206,215 618,646 309,323 927,970 463,985 1,391,956 695,978 347,989 1,043,968 521,984 260,992 130,496 65,248 32,624 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260

More profiles

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