λ
Sequence Observatory

7,645,071

3 × 7 × 73 × 4987
Deficient Odd Composite

Starting at 7,645,071, the Collatz iteration reaches 1 after 142 steps. The first transition is 22935214; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 73 × 4987
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,811,584
Proper Divisor Sum 4,166,513
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7645061 ← → #7645073

Radix Representation

Decimal 7645071
Binary 11101001010011110001111 (23 bits)
Octal 0o35123617
Hexadecimal 0x74A78F

Divisor Catalog (16)

1 3 7 21 73 219 511 1,533 4,987 14,961 34,909 104,727 364,051 1,092,153 2,548,357 7,645,071

Collatz Trajectory (142 steps to reach 1)

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

7,645,071 22,935,214 11,467,607 34,402,822 17,201,411 51,604,234 25,802,117 77,406,352 38,703,176 19,351,588 9,675,794 4,837,897 14,513,692 7,256,846 3,628,423 10,885,270 5,442,635 16,327,906 8,163,953 24,491,860 12,245,930 6,122,965 18,368,896 9,184,448 4,592,224 2,296,112 1,148,056 574,028 287,014 143,507 430,522 215,261 645,784 322,892 161,446 80,723 242,170 121,085 363,256 181,628 90,814 45,407 136,222 68,111 204,334 102,167 306,502 153,251 459,754 229,877 689,632 344,816 172,408 86,204 43,102 21,551 64,654 32,327 96,982 48,491

More profiles

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