7,613,472

2⁵ × 3 × 71 × 1117

7,613,472 has digital root 3. The neighboring primes are 7613461 and 7613497; its proper-divisor sum differs from the starting integer by 5,058,048.

Prime Factor Structure

Factorization String 2^5 × 3 × 71 × 1117

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 20,284,992

Proper Divisor Sum 12,671,520

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7613461 ← → #7613497

Radix Representation

Decimal	7613472
Binary	11101000010110000100000 (23 bits)
Octal	0o35026040
Hexadecimal	0x742C20

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1,117 1,136 1,704 2,234 2,272 3,351 3,408 4,468 6,702 6,816 8,936 13,404 17,872 26,808 35,744 53,616 79,307 107,232 158,614 237,921 317,228 475,842 634,456 951,684 1,268,912 1,903,368 2,537,824 3,806,736 7,613,472

Collatz Trajectory (173 steps to reach 1)

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

7,613,472 3,806,736 1,903,368 951,684 475,842 237,921 713,764 356,882 178,441 535,324 267,662 133,831 401,494 200,747 602,242 301,121 903,364 451,682 225,841 677,524 338,762 169,381 508,144 254,072 127,036 63,518 31,759 95,278 47,639 142,918 71,459 214,378 107,189 321,568 160,784 80,392 40,196 20,098 10,049 30,148 15,074 7,537 22,612 11,306 5,653 16,960 8,480 4,240 2,120 1,060 530 265 796 398 199 598 299 898 449 1,348

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