λ
Sequence Observatory

1,634,273

79 × 137 × 151
Deficient Odd Composite

Starting at 1,634,273, the Collatz iteration reaches 1 after 220 steps. The first transition is 4902820; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 79 × 137 × 151
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,678,080
Proper Divisor Sum 43,807
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1634267 ← → #1634279

Radix Representation

Decimal 1634273
Binary 110001110111111100001 (21 bits)
Octal 0o6167741
Hexadecimal 0x18EFE1

Divisor Catalog (8)

1 79 137 151 10,823 11,929 20,687 1,634,273

Collatz Trajectory (220 steps to reach 1)

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

1,634,273 4,902,820 2,451,410 1,225,705 3,677,116 1,838,558 919,279 2,757,838 1,378,919 4,136,758 2,068,379 6,205,138 3,102,569 9,307,708 4,653,854 2,326,927 6,980,782 3,490,391 10,471,174 5,235,587 15,706,762 7,853,381 23,560,144 11,780,072 5,890,036 2,945,018 1,472,509 4,417,528 2,208,764 1,104,382 552,191 1,656,574 828,287 2,484,862 1,242,431 3,727,294 1,863,647 5,590,942 2,795,471 8,386,414 4,193,207 12,579,622 6,289,811 18,869,434 9,434,717 28,304,152 14,152,076 7,076,038 3,538,019 10,614,058 5,307,029 15,921,088 7,960,544 3,980,272 1,990,136 995,068 497,534 248,767 746,302 373,151

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