8,730,820

2² × 5 × 7² × 59 × 151

Starting at 8,730,820, the Collatz iteration reaches 1 after 106 steps. The first transition is 4365410; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 7^2 × 59 × 151

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 21,833,280

Proper Divisor Sum 13,102,460

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8730803 ← → #8730847

Radix Representation

Decimal	8730820
Binary	100001010011100011000100 (24 bits)
Octal	0o41234304
Hexadecimal	0x8538C4

Divisor Catalog (60 of 72)

1 2 4 5 7 10 14 20 28 35 49 59 70 98 118 140 151 196 236 245 295 302 413 490 590 604 755 826 980 1,057 1,180 1,510 1,652 2,065 2,114 2,891 3,020 4,130 4,228 5,285 5,782 7,399 8,260 8,909 10,570 11,564 14,455 14,798 17,818 21,140 28,910 29,596 35,636 36,995 44,545 57,820 62,363 73,990 89,090 124,726

Collatz Trajectory (106 steps to reach 1)

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

8,730,820 4,365,410 2,182,705 6,548,116 3,274,058 1,637,029 4,911,088 2,455,544 1,227,772 613,886 306,943 920,830 460,415 1,381,246 690,623 2,071,870 1,035,935 3,107,806 1,553,903 4,661,710 2,330,855 6,992,566 3,496,283 10,488,850 5,244,425 15,733,276 7,866,638 3,933,319 11,799,958 5,899,979 17,699,938 8,849,969 26,549,908 13,274,954 6,637,477 19,912,432 9,956,216 4,978,108 2,489,054 1,244,527 3,733,582 1,866,791 5,600,374 2,800,187 8,400,562 4,200,281 12,600,844 6,300,422 3,150,211 9,450,634 4,725,317 14,175,952 7,087,976 3,543,988 1,771,994 885,997 2,657,992 1,328,996 664,498 332,249

← Previous Integer #8,730,819 Browse Full Index Next Integer #8,730,821 →