λ
Harmonic Matrix

454,409

454409
Deficient Odd Prime

454,409 has digital root 8. The neighboring primes are 454387 and 454417; its proper-divisor sum differs from the starting integer by -454,408.

Prime Factor Structure

Factorization String 454409
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 454,410
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #454387 ← → #454417

Radix Representation

Decimal 454409
Binary 1101110111100001001 (19 bits)
Octal 0o1567411
Hexadecimal 0x6EF09

Divisor Catalog (2)

Collatz Trajectory (156 steps to reach 1)

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

454,409 1,363,228 681,614 340,807 1,022,422 511,211 1,533,634 766,817 2,300,452 1,150,226 575,113 1,725,340 862,670 431,335 1,294,006 647,003 1,941,010 970,505 2,911,516 1,455,758 727,879 2,183,638 1,091,819 3,275,458 1,637,729 4,913,188 2,456,594 1,228,297 3,684,892 1,842,446 921,223 2,763,670 1,381,835 4,145,506 2,072,753 6,218,260 3,109,130 1,554,565 4,663,696 2,331,848 1,165,924 582,962 291,481 874,444 437,222 218,611 655,834 327,917 983,752 491,876 245,938 122,969 368,908 184,454 92,227 276,682 138,341 415,024 207,512 103,756

More profiles

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