677,535

3 × 5 × 17 × 2657

677,535 factors as 3 × 5 × 17 × 2657. Its 16 positive divisors give a proper-divisor sum of 470,721, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 2657

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,148,256

Proper Divisor Sum 470,721

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #677533 ← → #677539

Radix Representation

Decimal	677535
Binary	10100101011010011111 (20 bits)
Octal	0o2453237
Hexadecimal	0xA569F

Divisor Catalog (16)

1 3 5 15 17 51 85 255 2,657 7,971 13,285 39,855 45,169 135,507 225,845 677,535

Collatz Trajectory (136 steps to reach 1)

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

677,535 2,032,606 1,016,303 3,048,910 1,524,455 4,573,366 2,286,683 6,860,050 3,430,025 10,290,076 5,145,038 2,572,519 7,717,558 3,858,779 11,576,338 5,788,169 17,364,508 8,682,254 4,341,127 13,023,382 6,511,691 19,535,074 9,767,537 29,302,612 14,651,306 7,325,653 21,976,960 10,988,480 5,494,240 2,747,120 1,373,560 686,780 343,390 171,695 515,086 257,543 772,630 386,315 1,158,946 579,473 1,738,420 869,210 434,605 1,303,816 651,908 325,954 162,977 488,932 244,466 122,233 366,700 183,350 91,675 275,026 137,513 412,540 206,270 103,135 309,406 154,703

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