λ
Sigma Notebook

7,077,623

7 × 163 × 6203
Deficient Odd Composite

7,077,623 is odd and not a perfect square. Its factorization is 7 × 163 × 6203 and its 8 divisors sum to 8,139,648.

Prime Factor Structure

Factorization String 7 × 163 × 6203
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,139,648
Proper Divisor Sum 1,062,025
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7077617 ← → #7077667

Radix Representation

Decimal 7077623
Binary 11010111111111011110111 (23 bits)
Octal 0o32777367
Hexadecimal 0x6BFEF7

Divisor Catalog (8)

1 7 163 1,141 6,203 43,421 1,011,089 7,077,623

Collatz Trajectory (173 steps to reach 1)

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

7,077,623 21,232,870 10,616,435 31,849,306 15,924,653 47,773,960 23,886,980 11,943,490 5,971,745 17,915,236 8,957,618 4,478,809 13,436,428 6,718,214 3,359,107 10,077,322 5,038,661 15,115,984 7,557,992 3,778,996 1,889,498 944,749 2,834,248 1,417,124 708,562 354,281 1,062,844 531,422 265,711 797,134 398,567 1,195,702 597,851 1,793,554 896,777 2,690,332 1,345,166 672,583 2,017,750 1,008,875 3,026,626 1,513,313 4,539,940 2,269,970 1,134,985 3,404,956 1,702,478 851,239 2,553,718 1,276,859 3,830,578 1,915,289 5,745,868 2,872,934 1,436,467 4,309,402 2,154,701 6,464,104 3,232,052 1,616,026

More profiles

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