78,439,360

2⁶ × 5 × 17 × 14419

78,439,360 factors as 2^6 × 5 × 17 × 14419. Its 56 positive divisors give a proper-divisor sum of 119,345,360, so this integer is abundant. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 17 × 14419

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 197,784,720

Proper Divisor Sum 119,345,360

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #78439357 ← → #78439363

Radix Representation

Decimal	78439360
Binary	100101011001110001111000000 (27 bits)
Octal	0o453161700
Hexadecimal	0x4ACE3C0

Divisor Catalog (56)

1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1,088 1,360 2,720 5,440 14,419 28,838 57,676 72,095 115,352 144,190 230,704 245,123 288,380 461,408 490,246 576,760 922,816 980,492 1,153,520 1,225,615 1,960,984 2,307,040 2,451,230 3,921,968 4,614,080 4,902,460 7,843,936 9,804,920 15,687,872 19,609,840 39,219,680 78,439,360

Collatz Trajectory (179 steps to reach 1)

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

78,439,360 39,219,680 19,609,840 9,804,920 4,902,460 2,451,230 1,225,615 3,676,846 1,838,423 5,515,270 2,757,635 8,272,906 4,136,453 12,409,360 6,204,680 3,102,340 1,551,170 775,585 2,326,756 1,163,378 581,689 1,745,068 872,534 436,267 1,308,802 654,401 1,963,204 981,602 490,801 1,472,404 736,202 368,101 1,104,304 552,152 276,076 138,038 69,019 207,058 103,529 310,588 155,294 77,647 232,942 116,471 349,414 174,707 524,122 262,061 786,184 393,092 196,546 98,273 294,820 147,410 73,705 221,116 110,558 55,279 165,838 82,919

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