677,152

2⁵ × 7 × 3023

677,152 is even and not a perfect square. Its factorization is 2^5 × 7 × 3023 and its 24 divisors sum to 1,524,096.

Prime Factor Structure

Factorization String 2^5 × 7 × 3023

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,524,096

Proper Divisor Sum 846,944

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #677147 ← → #677167

Radix Representation

Decimal	677152
Binary	10100101010100100000 (20 bits)
Octal	0o2452440
Hexadecimal	0xA5520

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 3,023 6,046 12,092 21,161 24,184 42,322 48,368 84,644 96,736 169,288 338,576 677,152

Collatz Trajectory (136 steps to reach 1)

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

677,152 338,576 169,288 84,644 42,322 21,161 63,484 31,742 15,871 47,614 23,807 71,422 35,711 107,134 53,567 160,702 80,351 241,054 120,527 361,582 180,791 542,374 271,187 813,562 406,781 1,220,344 610,172 305,086 152,543 457,630 228,815 686,446 343,223 1,029,670 514,835 1,544,506 772,253 2,316,760 1,158,380 579,190 289,595 868,786 434,393 1,303,180 651,590 325,795 977,386 488,693 1,466,080 733,040 366,520 183,260 91,630 45,815 137,446 68,723 206,170 103,085 309,256 154,628

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