7,720,624

2⁴ × 482539

7,720,624 has digital root 1. The neighboring primes are 7720621 and 7720633; its proper-divisor sum differs from the starting integer by -482,508.

Prime Factor Structure

Factorization String 2^4 × 482539

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 14,958,740

Proper Divisor Sum 7,238,116

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7720621 ← → #7720633

Radix Representation

Decimal	7720624
Binary	11101011100111010110000 (23 bits)
Octal	0o35347260
Hexadecimal	0x75CEB0

Divisor Catalog (10)

1 2 4 8 16 482,539 965,078 1,930,156 3,860,312 7,720,624

Collatz Trajectory (124 steps to reach 1)

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

7,720,624 3,860,312 1,930,156 965,078 482,539 1,447,618 723,809 2,171,428 1,085,714 542,857 1,628,572 814,286 407,143 1,221,430 610,715 1,832,146 916,073 2,748,220 1,374,110 687,055 2,061,166 1,030,583 3,091,750 1,545,875 4,637,626 2,318,813 6,956,440 3,478,220 1,739,110 869,555 2,608,666 1,304,333 3,913,000 1,956,500 978,250 489,125 1,467,376 733,688 366,844 183,422 91,711 275,134 137,567 412,702 206,351 619,054 309,527 928,582 464,291 1,392,874 696,437 2,089,312 1,044,656 522,328 261,164 130,582 65,291 195,874 97,937 293,812

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