8,277,680

2⁴ × 5 × 103471

Starting at 8,277,680, the Collatz iteration reaches 1 after 137 steps. The first transition is 4138840; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 103471

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 19,245,792

Proper Divisor Sum 10,968,112

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8277671 ← → #8277683

Radix Representation

Decimal	8277680
Binary	11111100100111010110000 (23 bits)
Octal	0o37447260
Hexadecimal	0x7E4EB0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 103,471 206,942 413,884 517,355 827,768 1,034,710 1,655,536 2,069,420 4,138,840 8,277,680

Collatz Trajectory (137 steps to reach 1)

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

8,277,680 4,138,840 2,069,420 1,034,710 517,355 1,552,066 776,033 2,328,100 1,164,050 582,025 1,746,076 873,038 436,519 1,309,558 654,779 1,964,338 982,169 2,946,508 1,473,254 736,627 2,209,882 1,104,941 3,314,824 1,657,412 828,706 414,353 1,243,060 621,530 310,765 932,296 466,148 233,074 116,537 349,612 174,806 87,403 262,210 131,105 393,316 196,658 98,329 294,988 147,494 73,747 221,242 110,621 331,864 165,932 82,966 41,483 124,450 62,225 186,676 93,338 46,669 140,008 70,004 35,002 17,501 52,504

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