λ
Sequence Observatory

5,627,353

1123 × 5011
Deficient Odd Composite

Starting at 5,627,353, the Collatz iteration reaches 1 after 170 steps. The first transition is 16882060; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 1123 × 5011
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,633,488
Proper Divisor Sum 6,135
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5627327 ← → #5627393

Radix Representation

Decimal 5627353
Binary 10101011101110111011001 (23 bits)
Octal 0o25356731
Hexadecimal 0x55DDD9

Divisor Catalog (4)

1 1,123 5,011 5,627,353

Collatz Trajectory (170 steps to reach 1)

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

5,627,353 16,882,060 8,441,030 4,220,515 12,661,546 6,330,773 18,992,320 9,496,160 4,748,080 2,374,040 1,187,020 593,510 296,755 890,266 445,133 1,335,400 667,700 333,850 166,925 500,776 250,388 125,194 62,597 187,792 93,896 46,948 23,474 11,737 35,212 17,606 8,803 26,410 13,205 39,616 19,808 9,904 4,952 2,476 1,238 619 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166

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