315,407

315407

Starting at 315,407, the Collatz iteration reaches 1 after 78 steps. The first transition is 946222; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 315407

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 315,408

Proper Divisor Sum 1

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #315389 ← → #315409

Radix Representation

Decimal	315407
Binary	1001101000000001111 (19 bits)
Octal	0o1150017
Hexadecimal	0x4D00F

Divisor Catalog (2)

1 315,407

Collatz Trajectory (78 steps to reach 1)

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

315,407 946,222 473,111 1,419,334 709,667 2,129,002 1,064,501 3,193,504 1,596,752 798,376 399,188 199,594 99,797 299,392 149,696 74,848 37,424 18,712 9,356 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58

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