7,724,613

3 × 13 × 17 × 61 × 191

7,724,613 has digital root 3. The neighboring primes are 7724609 and 7724617; its proper-divisor sum differs from the starting integer by -3,449,994.

Prime Factor Structure

Factorization String 3 × 13 × 17 × 61 × 191

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 11,999,232

Proper Divisor Sum 4,274,619

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7724609 ← → #7724617

Radix Representation

Decimal	7724613
Binary	11101011101111001000101 (23 bits)
Octal	0o35357105
Hexadecimal	0x75DE45

Divisor Catalog (32)

1 3 13 17 39 51 61 183 191 221 573 663 793 1,037 2,379 2,483 3,111 3,247 7,449 9,741 11,651 13,481 34,953 40,443 42,211 126,633 151,463 198,067 454,389 594,201 2,574,871 7,724,613

Collatz Trajectory (173 steps to reach 1)

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

7,724,613 23,173,840 11,586,920 5,793,460 2,896,730 1,448,365 4,345,096 2,172,548 1,086,274 543,137 1,629,412 814,706 407,353 1,222,060 611,030 305,515 916,546 458,273 1,374,820 687,410 343,705 1,031,116 515,558 257,779 773,338 386,669 1,160,008 580,004 290,002 145,001 435,004 217,502 108,751 326,254 163,127 489,382 244,691 734,074 367,037 1,101,112 550,556 275,278 137,639 412,918 206,459 619,378 309,689 929,068 464,534 232,267 696,802 348,401 1,045,204 522,602 261,301 783,904 391,952 195,976 97,988 48,994

← Previous Integer #7,724,612 Browse Full Index Next Integer #7,724,614 →