8,432,670

2 × 3 × 5 × 37 × 71 × 107

Starting at 8,432,670, the Collatz iteration reaches 1 after 106 steps. The first transition is 4216335; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 37 × 71 × 107

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 21,275,136

Proper Divisor Sum 12,842,466

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8432659 ← → #8432681

Radix Representation

Decimal	8432670
Binary	100000001010110000011110 (24 bits)
Octal	0o40126036
Hexadecimal	0x80AC1E

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 30 37 71 74 107 111 142 185 213 214 222 321 355 370 426 535 555 642 710 1,065 1,070 1,110 1,605 2,130 2,627 3,210 3,959 5,254 7,597 7,881 7,918 11,877 13,135 15,194 15,762 19,795 22,791 23,754 26,270 37,985 39,405 39,590 45,582 59,385 75,970 78,810 113,955 118,770 227,910 281,089 562,178 843,267 1,405,445

Collatz Trajectory (106 steps to reach 1)

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

8,432,670 4,216,335 12,649,006 6,324,503 18,973,510 9,486,755 28,460,266 14,230,133 42,690,400 21,345,200 10,672,600 5,336,300 2,668,150 1,334,075 4,002,226 2,001,113 6,003,340 3,001,670 1,500,835 4,502,506 2,251,253 6,753,760 3,376,880 1,688,440 844,220 422,110 211,055 633,166 316,583 949,750 474,875 1,424,626 712,313 2,136,940 1,068,470 534,235 1,602,706 801,353 2,404,060 1,202,030 601,015 1,803,046 901,523 2,704,570 1,352,285 4,056,856 2,028,428 1,014,214 507,107 1,521,322 760,661 2,281,984 1,140,992 570,496 285,248 142,624 71,312 35,656 17,828 8,914

← Previous Integer #8,432,669 Browse Full Index Next Integer #8,432,671 →