8,407,506

2 × 3 × 29 × 211 × 229

Starting at 8,407,506, the Collatz iteration reaches 1 after 93 steps. The first transition is 4203753; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 211 × 229

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,553,600

Proper Divisor Sum 9,146,094

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8407471 ← → #8407513

Radix Representation

Decimal	8407506
Binary	100000000100100111010010 (24 bits)
Octal	0o40044722
Hexadecimal	0x8049D2

Divisor Catalog (32)

1 2 3 6 29 58 87 174 211 229 422 458 633 687 1,266 1,374 6,119 6,641 12,238 13,282 18,357 19,923 36,714 39,846 48,319 96,638 144,957 289,914 1,401,251 2,802,502 4,203,753 8,407,506

Collatz Trajectory (93 steps to reach 1)

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

8,407,506 4,203,753 12,611,260 6,305,630 3,152,815 9,458,446 4,729,223 14,187,670 7,093,835 21,281,506 10,640,753 31,922,260 15,961,130 7,980,565 23,941,696 11,970,848 5,985,424 2,992,712 1,496,356 748,178 374,089 1,122,268 561,134 280,567 841,702 420,851 1,262,554 631,277 1,893,832 946,916 473,458 236,729 710,188 355,094 177,547 532,642 266,321 798,964 399,482 199,741 599,224 299,612 149,806 74,903 224,710 112,355 337,066 168,533 505,600 252,800 126,400 63,200 31,600 15,800 7,900 3,950 1,975 5,926 2,963 8,890

← Previous Integer #8,407,505 Browse Full Index Next Integer #8,407,507 →