λ
Sigma Notebook

1,097,047

7 × 53 × 2957
Deficient Odd Composite

1,097,047 is odd and not a perfect square. Its factorization is 7 × 53 × 2957 and its 8 divisors sum to 1,277,856.

Prime Factor Structure

Factorization String 7 × 53 × 2957
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,277,856
Proper Divisor Sum 180,809
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1097039 ← → #1097051

Radix Representation

Decimal 1097047
Binary 100001011110101010111 (21 bits)
Octal 0o4136527
Hexadecimal 0x10BD57

Divisor Catalog (8)

1 7 53 371 2,957 20,699 156,721 1,097,047

Collatz Trajectory (178 steps to reach 1)

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

1,097,047 3,291,142 1,645,571 4,936,714 2,468,357 7,405,072 3,702,536 1,851,268 925,634 462,817 1,388,452 694,226 347,113 1,041,340 520,670 260,335 781,006 390,503 1,171,510 585,755 1,757,266 878,633 2,635,900 1,317,950 658,975 1,976,926 988,463 2,965,390 1,482,695 4,448,086 2,224,043 6,672,130 3,336,065 10,008,196 5,004,098 2,502,049 7,506,148 3,753,074 1,876,537 5,629,612 2,814,806 1,407,403 4,222,210 2,111,105 6,333,316 3,166,658 1,583,329 4,749,988 2,374,994 1,187,497 3,562,492 1,781,246 890,623 2,671,870 1,335,935 4,007,806 2,003,903 6,011,710 3,005,855 9,017,566

More profiles

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