4,637,796

2² × 3 × 29 × 13327

Starting at 4,637,796, the Collatz iteration reaches 1 after 211 steps. The first transition is 2318898; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 13327

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,195,520

Proper Divisor Sum 6,557,724

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #4637783 ← → #4637803

Radix Representation

Decimal	4637796
Binary	10001101100010001100100 (23 bits)
Octal	0o21542144
Hexadecimal	0x46C464

Divisor Catalog (24)

1 2 3 4 6 12 29 58 87 116 174 348 13,327 26,654 39,981 53,308 79,962 159,924 386,483 772,966 1,159,449 1,545,932 2,318,898 4,637,796

Collatz Trajectory (211 steps to reach 1)

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

4,637,796 2,318,898 1,159,449 3,478,348 1,739,174 869,587 2,608,762 1,304,381 3,913,144 1,956,572 978,286 489,143 1,467,430 733,715 2,201,146 1,100,573 3,301,720 1,650,860 825,430 412,715 1,238,146 619,073 1,857,220 928,610 464,305 1,392,916 696,458 348,229 1,044,688 522,344 261,172 130,586 65,293 195,880 97,940 48,970 24,485 73,456 36,728 18,364 9,182 4,591 13,774 6,887 20,662 10,331 30,994 15,497 46,492 23,246 11,623 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423

← Previous Integer #4,637,795 Browse Full Index Next Integer #4,637,797 →