8,272,820

2² × 5 × 61 × 6781

Starting at 8,272,820, the Collatz iteration reaches 1 after 80 steps. The first transition is 4136410; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 61 × 6781

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,660,328

Proper Divisor Sum 9,387,508

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8272819 ← → #8272853

Radix Representation

Decimal	8272820
Binary	11111100011101110110100 (23 bits)
Octal	0o37435664
Hexadecimal	0x7E3BB4

Divisor Catalog (24)

1 2 4 5 10 20 61 122 244 305 610 1,220 6,781 13,562 27,124 33,905 67,810 135,620 413,641 827,282 1,654,564 2,068,205 4,136,410 8,272,820

Collatz Trajectory (80 steps to reach 1)

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

8,272,820 4,136,410 2,068,205 6,204,616 3,102,308 1,551,154 775,577 2,326,732 1,163,366 581,683 1,745,050 872,525 2,617,576 1,308,788 654,394 327,197 981,592 490,796 245,398 122,699 368,098 184,049 552,148 276,074 138,037 414,112 207,056 103,528 51,764 25,882 12,941 38,824 19,412 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244

← Previous Integer #8,272,819 Browse Full Index Next Integer #8,272,821 →