λ
Prime Ledger

7,420,308

22 × 3 × 7 × 88337
Abundant Even Composite

7,420,308 has the prime decomposition 2^2 × 3 × 7 × 88337. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 88337
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,787,712
Proper Divisor Sum 12,367,404
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7420307 ← → #7420333

Radix Representation

Decimal 7420308
Binary 11100010011100110010100 (23 bits)
Octal 0o34234624
Hexadecimal 0x713994

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 88,337 176,674 265,011 353,348 530,022 618,359 1,060,044 1,236,718 1,855,077 2,473,436 3,710,154 7,420,308

Collatz Trajectory (173 steps to reach 1)

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

7,420,308 3,710,154 1,855,077 5,565,232 2,782,616 1,391,308 695,654 347,827 1,043,482 521,741 1,565,224 782,612 391,306 195,653 586,960 293,480 146,740 73,370 36,685 110,056 55,028 27,514 13,757 41,272 20,636 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220

More profiles

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