λ
Prime Ledger

409,121

409121
Deficient Odd Prime

409,121 has the prime decomposition 409121. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 409121
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 409,122
Proper Divisor Sum 1
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #409099 ← → #409153

Radix Representation

Decimal 409121
Binary 1100011111000100001 (19 bits)
Octal 0o1437041
Hexadecimal 0x63E21

Divisor Catalog (2)

Collatz Trajectory (143 steps to reach 1)

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

409,121 1,227,364 613,682 306,841 920,524 460,262 230,131 690,394 345,197 1,035,592 517,796 258,898 129,449 388,348 194,174 97,087 291,262 145,631 436,894 218,447 655,342 327,671 983,014 491,507 1,474,522 737,261 2,211,784 1,105,892 552,946 276,473 829,420 414,710 207,355 622,066 311,033 933,100 466,550 233,275 699,826 349,913 1,049,740 524,870 262,435 787,306 393,653 1,180,960 590,480 295,240 147,620 73,810 36,905 110,716 55,358 27,679 83,038 41,519 124,558 62,279 186,838 93,419

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