8,123,440

2⁴ × 5 × 13 × 73 × 107

8,123,440 factors as 2^4 × 5 × 13 × 73 × 107. Its 80 positive divisors give a proper-divisor sum of 12,687,728, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 13 × 73 × 107

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 20,811,168

Proper Divisor Sum 12,687,728

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #8123417 ← → #8123447

Radix Representation

Decimal	8123440
Binary	11110111111010000110000 (23 bits)
Octal	0o36772060
Hexadecimal	0x7BF430

Divisor Catalog (60 of 80)

1 2 4 5 8 10 13 16 20 26 40 52 65 73 80 104 107 130 146 208 214 260 292 365 428 520 535 584 730 856 949 1,040 1,070 1,168 1,391 1,460 1,712 1,898 2,140 2,782 2,920 3,796 4,280 4,745 5,564 5,840 6,955 7,592 7,811 8,560 9,490 11,128 13,910 15,184 15,622 18,980 22,256 27,820 31,244 37,960

Collatz Trajectory (85 steps to reach 1)

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

8,123,440 4,061,720 2,030,860 1,015,430 507,715 1,523,146 761,573 2,284,720 1,142,360 571,180 285,590 142,795 428,386 214,193 642,580 321,290 160,645 481,936 240,968 120,484 60,242 30,121 90,364 45,182 22,591 67,774 33,887 101,662 50,831 152,494 76,247 228,742 114,371 343,114 171,557 514,672 257,336 128,668 64,334 32,167 96,502 48,251 144,754 72,377 217,132 108,566 54,283 162,850 81,425 244,276 122,138 61,069 183,208 91,604 45,802 22,901 68,704 34,352 17,176 8,588

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