λ
Sequence Observatory

5,517,152

25 × 172411
Deficient Even Composite

Starting at 5,517,152, the Collatz iteration reaches 1 after 157 steps. The first transition is 2758576; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 172411
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,861,956
Proper Divisor Sum 5,344,804
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5517151 ← → #5517167

Radix Representation

Decimal 5517152
Binary 10101000010111101100000 (23 bits)
Octal 0o25027540
Hexadecimal 0x542F60

Divisor Catalog (12)

1 2 4 8 16 32 172,411 344,822 689,644 1,379,288 2,758,576 5,517,152

Collatz Trajectory (157 steps to reach 1)

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

5,517,152 2,758,576 1,379,288 689,644 344,822 172,411 517,234 258,617 775,852 387,926 193,963 581,890 290,945 872,836 436,418 218,209 654,628 327,314 163,657 490,972 245,486 122,743 368,230 184,115 552,346 276,173 828,520 414,260 207,130 103,565 310,696 155,348 77,674 38,837 116,512 58,256 29,128 14,564 7,282 3,641 10,924 5,462 2,731 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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