7,948,478

2 × 23 × 67 × 2579

7,948,478 factors as 2 × 23 × 67 × 2579. Its 16 positive divisors give a proper-divisor sum of 4,683,202, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2 × 23 × 67 × 2579

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,631,680

Proper Divisor Sum 4,683,202

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #7948477 ← → #7948487

Radix Representation

Decimal	7948478
Binary	11110010100100010111110 (23 bits)
Octal	0o36244276
Hexadecimal	0x7948BE

Divisor Catalog (16)

1 2 23 46 67 134 1,541 2,579 3,082 5,158 59,317 118,634 172,793 345,586 3,974,239 7,948,478

Collatz Trajectory (124 steps to reach 1)

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

7,948,478 3,974,239 11,922,718 5,961,359 17,884,078 8,942,039 26,826,118 13,413,059 40,239,178 20,119,589 60,358,768 30,179,384 15,089,692 7,544,846 3,772,423 11,317,270 5,658,635 16,975,906 8,487,953 25,463,860 12,731,930 6,365,965 19,097,896 9,548,948 4,774,474 2,387,237 7,161,712 3,580,856 1,790,428 895,214 447,607 1,342,822 671,411 2,014,234 1,007,117 3,021,352 1,510,676 755,338 377,669 1,133,008 566,504 283,252 141,626 70,813 212,440 106,220 53,110 26,555 79,666 39,833 119,500 59,750 29,875 89,626 44,813 134,440 67,220 33,610 16,805 50,416

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,948,477 Browse Full Index Next Integer #7,948,479 →