7,476,040

2³ × 5 × 11 × 13 × 1307

7,476,040 has digital root 1. The neighboring primes are 7476019 and 7476043; its proper-divisor sum differs from the starting integer by 4,824,880.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 13 × 1307

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 19,776,960

Proper Divisor Sum 12,300,920

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7476019 ← → #7476043

Radix Representation

Decimal	7476040
Binary	11100100001001101001000 (23 bits)
Octal	0o34411510
Hexadecimal	0x721348

Divisor Catalog (60 of 64)

1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1,144 1,307 1,430 2,614 2,860 5,228 5,720 6,535 10,456 13,070 14,377 16,991 26,140 28,754 33,982 52,280 57,508 67,964 71,885 84,955 115,016 135,928 143,770 169,910 186,901 287,540 339,820 373,802 575,080 679,640 747,604 934,505

Collatz Trajectory (111 steps to reach 1)

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

7,476,040 3,738,020 1,869,010 934,505 2,803,516 1,401,758 700,879 2,102,638 1,051,319 3,153,958 1,576,979 4,730,938 2,365,469 7,096,408 3,548,204 1,774,102 887,051 2,661,154 1,330,577 3,991,732 1,995,866 997,933 2,993,800 1,496,900 748,450 374,225 1,122,676 561,338 280,669 842,008 421,004 210,502 105,251 315,754 157,877 473,632 236,816 118,408 59,204 29,602 14,801 44,404 22,202 11,101 33,304 16,652 8,326 4,163 12,490 6,245 18,736 9,368 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318

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