λ
Sequence Observatory

5,477,895

33 × 5 × 40577
Deficient Odd Composite

Starting at 5,477,895, the Collatz iteration reaches 1 after 219 steps. The first transition is 16433686; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5 × 40577
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,738,720
Proper Divisor Sum 4,260,825
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5477869 ← → #5477929

Radix Representation

Decimal 5477895
Binary 10100111001011000000111 (23 bits)
Octal 0o24713007
Hexadecimal 0x539607

Divisor Catalog (16)

1 3 5 9 15 27 45 135 40,577 121,731 202,885 365,193 608,655 1,095,579 1,825,965 5,477,895

Collatz Trajectory (219 steps to reach 1)

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

5,477,895 16,433,686 8,216,843 24,650,530 12,325,265 36,975,796 18,487,898 9,243,949 27,731,848 13,865,924 6,932,962 3,466,481 10,399,444 5,199,722 2,599,861 7,799,584 3,899,792 1,949,896 974,948 487,474 243,737 731,212 365,606 182,803 548,410 274,205 822,616 411,308 205,654 102,827 308,482 154,241 462,724 231,362 115,681 347,044 173,522 86,761 260,284 130,142 65,071 195,214 97,607 292,822 146,411 439,234 219,617 658,852 329,426 164,713 494,140 247,070 123,535 370,606 185,303 555,910 277,955 833,866 416,933 1,250,800

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