λ
Integer Codex

9,361,409

9361409
Deficient Odd Prime

For 9,361,409, the 2 positive divisors have a total of 9,361,410. Removing 9,361,409 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 9361409
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,361,410
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9361399 ← → #9361423

Radix Representation

Decimal 9361409
Binary 100011101101100000000001 (24 bits)
Octal 0o43554001
Hexadecimal 0x8ED801

Divisor Catalog (2)

Collatz Trajectory (137 steps to reach 1)

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

9,361,409 28,084,228 14,042,114 7,021,057 21,063,172 10,531,586 5,265,793 15,797,380 7,898,690 3,949,345 11,848,036 5,924,018 2,962,009 8,886,028 4,443,014 2,221,507 6,664,522 3,332,261 9,996,784 4,998,392 2,499,196 1,249,598 624,799 1,874,398 937,199 2,811,598 1,405,799 4,217,398 2,108,699 6,326,098 3,163,049 9,489,148 4,744,574 2,372,287 7,116,862 3,558,431 10,675,294 5,337,647 16,012,942 8,006,471 24,019,414 12,009,707 36,029,122 18,014,561 54,043,684 27,021,842 13,510,921 40,532,764 20,266,382 10,133,191 30,399,574 15,199,787 45,599,362 22,799,681 68,399,044 34,199,522 17,099,761 51,299,284 25,649,642 12,824,821

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