7,438,368

2⁵ × 3 × 7 × 11069

For 7,438,368, the 48 positive divisors have a total of 22,317,120. Removing 7,438,368 leaves 14,878,752, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 11069

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 22,317,120

Proper Divisor Sum 14,878,752

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7438363 ← → #7438373

Radix Representation

Decimal	7438368
Binary	11100011000000000100000 (23 bits)
Octal	0o34300040
Hexadecimal	0x718020

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 11,069 22,138 33,207 44,276 66,414 77,483 88,552 132,828 154,966 177,104 232,449 265,656 309,932 354,208 464,898 531,312 619,864 929,796 1,062,624 1,239,728 1,859,592 2,479,456 3,719,184 7,438,368

Collatz Trajectory (111 steps to reach 1)

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

7,438,368 3,719,184 1,859,592 929,796 464,898 232,449 697,348 348,674 174,337 523,012 261,506 130,753 392,260 196,130 98,065 294,196 147,098 73,549 220,648 110,324 55,162 27,581 82,744 41,372 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740 88,370 44,185 132,556 66,278 33,139 99,418 49,709 149,128 74,564 37,282 18,641 55,924 27,962 13,981 41,944 20,972 10,486 5,243 15,730 7,865

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