λ
Prime Ledger

1,242,332

22 × 7 × 13 × 3413
Abundant Even Composite

1,242,332 has the prime decomposition 2^2 × 7 × 13 × 3413. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 3413
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,676,576
Proper Divisor Sum 1,434,244
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1242317 ← → #1242347

Radix Representation

Decimal 1242332
Binary 100101111010011011100 (21 bits)
Octal 0o4572334
Hexadecimal 0x12F4DC

Divisor Catalog (24)

1 2 4 7 13 14 26 28 52 91 182 364 3,413 6,826 13,652 23,891 44,369 47,782 88,738 95,564 177,476 310,583 621,166 1,242,332

Collatz Trajectory (142 steps to reach 1)

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

1,242,332 621,166 310,583 931,750 465,875 1,397,626 698,813 2,096,440 1,048,220 524,110 262,055 786,166 393,083 1,179,250 589,625 1,768,876 884,438 442,219 1,326,658 663,329 1,989,988 994,994 497,497 1,492,492 746,246 373,123 1,119,370 559,685 1,679,056 839,528 419,764 209,882 104,941 314,824 157,412 78,706 39,353 118,060 59,030 29,515 88,546 44,273 132,820 66,410 33,205 99,616 49,808 24,904 12,452 6,226 3,113 9,340 4,670 2,335 7,006 3,503 10,510 5,255 15,766 7,883

More profiles

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