λ
Sigma Notebook

8,624,813

2903 × 2971
Deficient Odd Composite

8,624,813 is odd and not a perfect square. Its factorization is 2903 × 2971 and its 4 divisors sum to 8,630,688.

Prime Factor Structure

Factorization String 2903 × 2971
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,630,688
Proper Divisor Sum 5,875
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8624807 ← → #8624821

Radix Representation

Decimal 8624813
Binary 100000111001101010101101 (24 bits)
Octal 0o40715255
Hexadecimal 0x839AAD

Divisor Catalog (4)

1 2,903 2,971 8,624,813

Collatz Trajectory (212 steps to reach 1)

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

8,624,813 25,874,440 12,937,220 6,468,610 3,234,305 9,702,916 4,851,458 2,425,729 7,277,188 3,638,594 1,819,297 5,457,892 2,728,946 1,364,473 4,093,420 2,046,710 1,023,355 3,070,066 1,535,033 4,605,100 2,302,550 1,151,275 3,453,826 1,726,913 5,180,740 2,590,370 1,295,185 3,885,556 1,942,778 971,389 2,914,168 1,457,084 728,542 364,271 1,092,814 546,407 1,639,222 819,611 2,458,834 1,229,417 3,688,252 1,844,126 922,063 2,766,190 1,383,095 4,149,286 2,074,643 6,223,930 3,111,965 9,335,896 4,667,948 2,333,974 1,166,987 3,500,962 1,750,481 5,251,444 2,625,722 1,312,861 3,938,584 1,969,292

More profiles

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