7,721,760

2⁵ × 3 × 5 × 16087

7,721,760 has the prime decomposition 2^5 × 3 × 5 × 16087. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 16087

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 24,325,056

Proper Divisor Sum 16,603,296

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7721717 ← → #7721761

Radix Representation

Decimal	7721760
Binary	11101011101001100100000 (23 bits)
Octal	0o35351440
Hexadecimal	0x75D320

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 16,087 32,174 48,261 64,348 80,435 96,522 128,696 160,870 193,044 241,305 257,392 321,740 386,088 482,610 514,784 643,480 772,176 965,220 1,286,960 1,544,352 1,930,440 2,573,920 3,860,880 7,721,760

Collatz Trajectory (98 steps to reach 1)

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

7,721,760 3,860,880 1,930,440 965,220 482,610 241,305 723,916 361,958 180,979 542,938 271,469 814,408 407,204 203,602 101,801 305,404 152,702 76,351 229,054 114,527 343,582 171,791 515,374 257,687 773,062 386,531 1,159,594 579,797 1,739,392 869,696 434,848 217,424 108,712 54,356 27,178 13,589 40,768 20,384 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367

← Previous Integer #7,721,759 Browse Full Index Next Integer #7,721,761 →