λ
Sigma Notebook

1,677,406

2 × 223 × 3761
Deficient Even Composite

1,677,406 is even and not a perfect square. Its factorization is 2 × 223 × 3761 and its 8 divisors sum to 2,528,064.

Prime Factor Structure

Factorization String 2 × 223 × 3761
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,528,064
Proper Divisor Sum 850,658
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1677359 ← → #1677443

Radix Representation

Decimal 1677406
Binary 110011001100001011110 (21 bits)
Octal 0o6314136
Hexadecimal 0x19985E

Divisor Catalog (8)

1 2 223 446 3,761 7,522 838,703 1,677,406

Collatz Trajectory (114 steps to reach 1)

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

1,677,406 838,703 2,516,110 1,258,055 3,774,166 1,887,083 5,661,250 2,830,625 8,491,876 4,245,938 2,122,969 6,368,908 3,184,454 1,592,227 4,776,682 2,388,341 7,165,024 3,582,512 1,791,256 895,628 447,814 223,907 671,722 335,861 1,007,584 503,792 251,896 125,948 62,974 31,487 94,462 47,231 141,694 70,847 212,542 106,271 318,814 159,407 478,222 239,111 717,334 358,667 1,076,002 538,001 1,614,004 807,002 403,501 1,210,504 605,252 302,626 151,313 453,940 226,970 113,485 340,456 170,228 85,114 42,557 127,672 63,836

More profiles

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