4,016,688

2⁴ × 3 × 13 × 41 × 157

4,016,688 has the prime decomposition 2^4 × 3 × 13 × 41 × 157. Its 5 distinct prime factors produce 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 41 × 157

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 11,520,096

Proper Divisor Sum 7,503,408

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4016671 ← → #4016689

Radix Representation

Decimal	4016688
Binary	1111010100101000110000 (22 bits)
Octal	0o17245060
Hexadecimal	0x3D4A30

Divisor Catalog (60 of 80)

1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 157 164 208 246 312 314 328 471 492 533 624 628 656 942 984 1,066 1,256 1,599 1,884 1,968 2,041 2,132 2,512 3,198 3,768 4,082 4,264 6,123 6,396 6,437 7,536 8,164 8,528 12,246 12,792 12,874 16,328 19,311 24,492 25,584

Collatz Trajectory (167 steps to reach 1)

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

4,016,688 2,008,344 1,004,172 502,086 251,043 753,130 376,565 1,129,696 564,848 282,424 141,212 70,606 35,303 105,910 52,955 158,866 79,433 238,300 119,150 59,575 178,726 89,363 268,090 134,045 402,136 201,068 100,534 50,267 150,802 75,401 226,204 113,102 56,551 169,654 84,827 254,482 127,241 381,724 190,862 95,431 286,294 143,147 429,442 214,721 644,164 322,082 161,041 483,124 241,562 120,781 362,344 181,172 90,586 45,293 135,880 67,940 33,970 16,985 50,956 25,478

← Previous Integer #4,016,687 Browse Full Index Next Integer #4,016,689 →