λ
Sequence Observatory

2,478,653

2478653
Deficient Odd Prime

Starting at 2,478,653, the Collatz iteration reaches 1 after 205 steps. The first transition is 7435960; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 2478653
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,478,654
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2478643 ← → #2478661

Radix Representation

Decimal 2478653
Binary 1001011101001000111101 (22 bits)
Octal 0o11351075
Hexadecimal 0x25D23D

Divisor Catalog (2)

Collatz Trajectory (205 steps to reach 1)

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

2,478,653 7,435,960 3,717,980 1,858,990 929,495 2,788,486 1,394,243 4,182,730 2,091,365 6,274,096 3,137,048 1,568,524 784,262 392,131 1,176,394 588,197 1,764,592 882,296 441,148 220,574 110,287 330,862 165,431 496,294 248,147 744,442 372,221 1,116,664 558,332 279,166 139,583 418,750 209,375 628,126 314,063 942,190 471,095 1,413,286 706,643 2,119,930 1,059,965 3,179,896 1,589,948 794,974 397,487 1,192,462 596,231 1,788,694 894,347 2,683,042 1,341,521 4,024,564 2,012,282 1,006,141 3,018,424 1,509,212 754,606 377,303 1,131,910 565,955

More profiles

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