λ
Harmonic Matrix

8,453,409

3 × 331 × 8513
Deficient Odd Composite

8,453,409 has digital root 6. The neighboring primes are 8453399 and 8453411; its proper-divisor sum differs from the starting integer by -5,600,226.

Prime Factor Structure

Factorization String 3 × 331 × 8513
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,306,592
Proper Divisor Sum 2,853,183
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8453399 ← → #8453411

Radix Representation

Decimal 8453409
Binary 100000001111110100100001 (24 bits)
Octal 0o40176441
Hexadecimal 0x80FD21

Divisor Catalog (8)

1 3 331 993 8,513 25,539 2,817,803 8,453,409

Collatz Trajectory (80 steps to reach 1)

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

8,453,409 25,360,228 12,680,114 6,340,057 19,020,172 9,510,086 4,755,043 14,265,130 7,132,565 21,397,696 10,698,848 5,349,424 2,674,712 1,337,356 668,678 334,339 1,003,018 501,509 1,504,528 752,264 376,132 188,066 94,033 282,100 141,050 70,525 211,576 105,788 52,894 26,447 79,342 39,671 119,014 59,507 178,522 89,261 267,784 133,892 66,946 33,473 100,420 50,210 25,105 75,316 37,658 18,829 56,488 28,244 14,122 7,061 21,184 10,592 5,296 2,648 1,324 662 331 994 497 1,492

More profiles

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