1,205,031

3 × 41 × 97 × 101

1,205,031 has the prime decomposition 3 × 41 × 97 × 101. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 41 × 97 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,679,328

Proper Divisor Sum 474,297

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #1205027 ← → #1205047

Radix Representation

Decimal	1205031
Binary	100100110001100100111 (21 bits)
Octal	0o4461447
Hexadecimal	0x126327

Divisor Catalog (16)

1 3 41 97 101 123 291 303 3,977 4,141 9,797 11,931 12,423 29,391 401,677 1,205,031

Collatz Trajectory (129 steps to reach 1)

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

1,205,031 3,615,094 1,807,547 5,422,642 2,711,321 8,133,964 4,066,982 2,033,491 6,100,474 3,050,237 9,150,712 4,575,356 2,287,678 1,143,839 3,431,518 1,715,759 5,147,278 2,573,639 7,720,918 3,860,459 11,581,378 5,790,689 17,372,068 8,686,034 4,343,017 13,029,052 6,514,526 3,257,263 9,771,790 4,885,895 14,657,686 7,328,843 21,986,530 10,993,265 32,979,796 16,489,898 8,244,949 24,734,848 12,367,424 6,183,712 3,091,856 1,545,928 772,964 386,482 193,241 579,724 289,862 144,931 434,794 217,397 652,192 326,096 163,048 81,524 40,762 20,381 61,144 30,572 15,286 7,643

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