8,152,928

2⁵ × 7 × 17 × 2141

Starting at 8,152,928, the Collatz iteration reaches 1 after 111 steps. The first transition is 4076464; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 7 × 17 × 2141

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 19,432,224

Proper Divisor Sum 11,279,296

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8152927 ← → #8152931

Radix Representation

Decimal	8152928
Binary	11111000110011101100000 (23 bits)
Octal	0o37063540
Hexadecimal	0x7C6760

Divisor Catalog (48)

1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1,904 2,141 3,808 4,282 8,564 14,987 17,128 29,974 34,256 36,397 59,948 68,512 72,794 119,896 145,588 239,792 254,779 291,176 479,584 509,558 582,352 1,019,116 1,164,704 2,038,232 4,076,464 8,152,928

Collatz Trajectory (111 steps to reach 1)

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

8,152,928 4,076,464 2,038,232 1,019,116 509,558 254,779 764,338 382,169 1,146,508 573,254 286,627 859,882 429,941 1,289,824 644,912 322,456 161,228 80,614 40,307 120,922 60,461 181,384 90,692 45,346 22,673 68,020 34,010 17,005 51,016 25,508 12,754 6,377 19,132 9,566 4,783 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626

← Previous Integer #8,152,927 Browse Full Index Next Integer #8,152,929 →