λ
Prime Ledger

1,075,865

5 × 7 × 59 × 521
Deficient Odd Composite

1,075,865 has the prime decomposition 5 × 7 × 59 × 521. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 59 × 521
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,503,360
Proper Divisor Sum 427,495
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1075859 ← → #1075897

Radix Representation

Decimal 1075865
Binary 100000110101010011001 (21 bits)
Octal 0o4065231
Hexadecimal 0x106A99

Divisor Catalog (16)

1 5 7 35 59 295 413 521 2,065 2,605 3,647 18,235 30,739 153,695 215,173 1,075,865

Collatz Trajectory (178 steps to reach 1)

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

1,075,865 3,227,596 1,613,798 806,899 2,420,698 1,210,349 3,631,048 1,815,524 907,762 453,881 1,361,644 680,822 340,411 1,021,234 510,617 1,531,852 765,926 382,963 1,148,890 574,445 1,723,336 861,668 430,834 215,417 646,252 323,126 161,563 484,690 242,345 727,036 363,518 181,759 545,278 272,639 817,918 408,959 1,226,878 613,439 1,840,318 920,159 2,760,478 1,380,239 4,140,718 2,070,359 6,211,078 3,105,539 9,316,618 4,658,309 13,974,928 6,987,464 3,493,732 1,746,866 873,433 2,620,300 1,310,150 655,075 1,965,226 982,613 2,947,840 1,473,920

More profiles

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