λ
Prime Ledger

7,409,392

24 × 19 × 24373
Abundant Even Composite

7,409,392 has the prime decomposition 2^4 × 19 × 24373. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 19 × 24373
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 15,111,880
Proper Divisor Sum 7,702,488
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7409387 ← → #7409393

Radix Representation

Decimal 7409392
Binary 11100010000111011110000 (23 bits)
Octal 0o34207360
Hexadecimal 0x710EF0

Divisor Catalog (20)

1 2 4 8 16 19 38 76 152 304 24,373 48,746 97,492 194,984 389,968 463,087 926,174 1,852,348 3,704,696 7,409,392

Collatz Trajectory (85 steps to reach 1)

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

7,409,392 3,704,696 1,852,348 926,174 463,087 1,389,262 694,631 2,083,894 1,041,947 3,125,842 1,562,921 4,688,764 2,344,382 1,172,191 3,516,574 1,758,287 5,274,862 2,637,431 7,912,294 3,956,147 11,868,442 5,934,221 17,802,664 8,901,332 4,450,666 2,225,333 6,676,000 3,338,000 1,669,000 834,500 417,250 208,625 625,876 312,938 156,469 469,408 234,704 117,352 58,676 29,338 14,669 44,008 22,004 11,002 5,501 16,504 8,252 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965 20,896 10,448 5,224 2,612 1,306

More profiles

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