λ
Prime Ledger

997,028

22 × 249257
Deficient Even Composite

997,028 has the prime decomposition 2^2 × 249257. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 249257
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,744,806
Proper Divisor Sum 747,778
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #997021 ← → #997037

Radix Representation

Decimal 997028
Binary 11110011011010100100 (20 bits)
Octal 0o3633244
Hexadecimal 0xF36A4

Divisor Catalog (6)

1 2 4 249,257 498,514 997,028

Collatz Trajectory (77 steps to reach 1)

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

997,028 498,514 249,257 747,772 373,886 186,943 560,830 280,415 841,246 420,623 1,261,870 630,935 1,892,806 946,403 2,839,210 1,419,605 4,258,816 2,129,408 1,064,704 532,352 266,176 133,088 66,544 33,272 16,636 8,318 4,159 12,478 6,239 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664 3,332 1,666 833 2,500 1,250 625 1,876 938 469 1,408 704 352 176

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