7,402,768

2⁴ × 462673

7,402,768 has digital root 7. The neighboring primes are 7402741 and 7402771; its proper-divisor sum differs from the starting integer by -462,642.

Prime Factor Structure

Factorization String 2^4 × 462673

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 14,342,894

Proper Divisor Sum 6,940,126

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7402741 ← → #7402771

Radix Representation

Decimal	7402768
Binary	11100001111010100010000 (23 bits)
Octal	0o34172420
Hexadecimal	0x70F510

Divisor Catalog (10)

1 2 4 8 16 462,673 925,346 1,850,692 3,701,384 7,402,768

Collatz Trajectory (54 steps to reach 1)

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

7,402,768 3,701,384 1,850,692 925,346 462,673 1,388,020 694,010 347,005 1,041,016 520,508 260,254 130,127 390,382 195,191 585,574 292,787 878,362 439,181 1,317,544 658,772 329,386 164,693 494,080 247,040 123,520 61,760 30,880 15,440 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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