λ
Sequence Observatory

5,515,304

23 × 113 × 6101
Deficient Even Composite

Starting at 5,515,304, the Collatz iteration reaches 1 after 157 steps. The first transition is 2757652; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 113 × 6101
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,434,420
Proper Divisor Sum 4,919,116
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5515273 ← → #5515313

Radix Representation

Decimal 5515304
Binary 10101000010100000101000 (23 bits)
Octal 0o25024050
Hexadecimal 0x542828

Divisor Catalog (16)

1 2 4 8 113 226 452 904 6,101 12,202 24,404 48,808 689,413 1,378,826 2,757,652 5,515,304

Collatz Trajectory (157 steps to reach 1)

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

5,515,304 2,757,652 1,378,826 689,413 2,068,240 1,034,120 517,060 258,530 129,265 387,796 193,898 96,949 290,848 145,424 72,712 36,356 18,178 9,089 27,268 13,634 6,817 20,452 10,226 5,113 15,340 7,670 3,835 11,506 5,753 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973

More profiles

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