λ
Sequence Observatory

731,909

731909
Deficient Odd Prime

Starting at 731,909, the Collatz iteration reaches 1 after 74 steps. The first transition is 2195728; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 731909
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 731,910
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #731893 ← → #731911

Radix Representation

Decimal 731909
Binary 10110010101100000101 (20 bits)
Octal 0o2625405
Hexadecimal 0xB2B05

Divisor Catalog (2)

1 731,909

Collatz Trajectory (74 steps to reach 1)

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

731,909 2,195,728 1,097,864 548,932 274,466 137,233 411,700 205,850 102,925 308,776 154,388 77,194 38,597 115,792 57,896 28,948 14,474 7,237 21,712 10,856 5,428 2,714 1,357 4,072 2,036 1,018 509 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22

More profiles

← Previous Integer #731,908 Browse Full Index Next Integer #731,910 →