746,415

3⁴ × 5 × 19 × 97

746,415 has digital root 9. The neighboring primes are 746413 and 746429; its proper-divisor sum differs from the starting integer by -69,870.

Prime Factor Structure

Factorization String 3^4 × 5 × 19 × 97

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 1,422,960

Proper Divisor Sum 676,545

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #746413 ← → #746429

Radix Representation

Decimal	746415
Binary	10110110001110101111 (20 bits)
Octal	0o2661657
Hexadecimal	0xB63AF

Divisor Catalog (40)

1 3 5 9 15 19 27 45 57 81 95 97 135 171 285 291 405 485 513 855 873 1,455 1,539 1,843 2,565 2,619 4,365 5,529 7,695 7,857 9,215 13,095 16,587 27,645 39,285 49,761 82,935 149,283 248,805 746,415

Collatz Trajectory (149 steps to reach 1)

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

746,415 2,239,246 1,119,623 3,358,870 1,679,435 5,038,306 2,519,153 7,557,460 3,778,730 1,889,365 5,668,096 2,834,048 1,417,024 708,512 354,256 177,128 88,564 44,282 22,141 66,424 33,212 16,606 8,303 24,910 12,455 37,366 18,683 56,050 28,025 84,076 42,038 21,019 63,058 31,529 94,588 47,294 23,647 70,942 35,471 106,414 53,207 159,622 79,811 239,434 119,717 359,152 179,576 89,788 44,894 22,447 67,342 33,671 101,014 50,507 151,522 75,761 227,284 113,642 56,821 170,464

← Previous Integer #746,414 Browse Full Index Next Integer #746,416 →