54,802,696

2³ × 13 × 17 × 139 × 223

54,802,696 factors as 2^3 × 13 × 17 × 139 × 223. Its 64 positive divisors give a proper-divisor sum of 63,738,104, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 17 × 139 × 223

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 118,540,800

Proper Divisor Sum 63,738,104

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #54802687 ← → #54802697

Radix Representation

Decimal	54802696
Binary	11010001000011100100001000 (26 bits)
Octal	0o321034410
Hexadecimal	0x3443908

Divisor Catalog (60 of 64)

1 2 4 8 13 17 26 34 52 68 104 136 139 221 223 278 442 446 556 884 892 1,112 1,768 1,784 1,807 2,363 2,899 3,614 3,791 4,726 5,798 7,228 7,582 9,452 11,596 14,456 15,164 18,904 23,192 30,328 30,719 30,997 49,283 61,438 61,994 98,566 122,876 123,988 197,132 245,752 247,976 394,264 402,961 526,949 805,922 1,053,898 1,611,844 2,107,796 3,223,688 4,215,592

Collatz Trajectory (168 steps to reach 1)

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

54,802,696 27,401,348 13,700,674 6,850,337 20,551,012 10,275,506 5,137,753 15,413,260 7,706,630 3,853,315 11,559,946 5,779,973 17,339,920 8,669,960 4,334,980 2,167,490 1,083,745 3,251,236 1,625,618 812,809 2,438,428 1,219,214 609,607 1,828,822 914,411 2,743,234 1,371,617 4,114,852 2,057,426 1,028,713 3,086,140 1,543,070 771,535 2,314,606 1,157,303 3,471,910 1,735,955 5,207,866 2,603,933 7,811,800 3,905,900 1,952,950 976,475 2,929,426 1,464,713 4,394,140 2,197,070 1,098,535 3,295,606 1,647,803 4,943,410 2,471,705 7,415,116 3,707,558 1,853,779 5,561,338 2,780,669 8,342,008 4,171,004 2,085,502

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