λ
Sequence Observatory

715,028

22 × 178757
Deficient Even Composite

Starting at 715,028, the Collatz iteration reaches 1 after 167 steps. The first transition is 357514; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 178757
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,251,306
Proper Divisor Sum 536,278
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #715019 ← → #715031

Radix Representation

Decimal 715028
Binary 10101110100100010100 (20 bits)
Octal 0o2564424
Hexadecimal 0xAE914

Divisor Catalog (6)

1 2 4 178,757 357,514 715,028

Collatz Trajectory (167 steps to reach 1)

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

715,028 357,514 178,757 536,272 268,136 134,068 67,034 33,517 100,552 50,276 25,138 12,569 37,708 18,854 9,427 28,282 14,141 42,424 21,212 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757

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