8,715,408

2⁴ × 3 × 13 × 13967

8,715,408 has the prime decomposition 2^4 × 3 × 13 × 13967. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 13967

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 24,248,448

Proper Divisor Sum 15,533,040

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8715403 ← → #8715409

Radix Representation

Decimal	8715408
Binary	100001001111110010010000 (24 bits)
Octal	0o41176220
Hexadecimal	0x84FC90

Divisor Catalog (40)

1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 13,967 27,934 41,901 55,868 83,802 111,736 167,604 181,571 223,472 335,208 363,142 544,713 670,416 726,284 1,089,426 1,452,568 2,178,852 2,905,136 4,357,704 8,715,408

Collatz Trajectory (318 steps to reach 1)

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

8,715,408 4,357,704 2,178,852 1,089,426 544,713 1,634,140 817,070 408,535 1,225,606 612,803 1,838,410 919,205 2,757,616 1,378,808 689,404 344,702 172,351 517,054 258,527 775,582 387,791 1,163,374 581,687 1,745,062 872,531 2,617,594 1,308,797 3,926,392 1,963,196 981,598 490,799 1,472,398 736,199 2,208,598 1,104,299 3,312,898 1,656,449 4,969,348 2,484,674 1,242,337 3,727,012 1,863,506 931,753 2,795,260 1,397,630 698,815 2,096,446 1,048,223 3,144,670 1,572,335 4,717,006 2,358,503 7,075,510 3,537,755 10,613,266 5,306,633 15,919,900 7,959,950 3,979,975 11,939,926

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