λ
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5,484,528

24 × 32 × 7 × 5441
Abundant Even Composite

5,484,528 factors as 2^4 × 3^2 × 7 × 5441. Its 60 positive divisors give a proper-divisor sum of 12,060,480, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 5441
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 17,545,008
Proper Divisor Sum 12,060,480
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5484503 ← → #5484533

Radix Representation

Decimal 5484528
Binary 10100111010111111110000 (23 bits)
Octal 0o24727760
Hexadecimal 0x53AFF0

Divisor Catalog (60)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1,008 5,441 10,882 16,323 21,764 32,646 38,087 43,528 48,969 65,292 76,174 87,056 97,938 114,261 130,584 152,348 195,876 228,522 261,168 304,696 342,783 391,752 457,044 609,392 685,566 783,504 914,088 1,371,132 1,828,176 2,742,264 5,484,528

Collatz Trajectory (201 steps to reach 1)

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

5,484,528 2,742,264 1,371,132 685,566 342,783 1,028,350 514,175 1,542,526 771,263 2,313,790 1,156,895 3,470,686 1,735,343 5,206,030 2,603,015 7,809,046 3,904,523 11,713,570 5,856,785 17,570,356 8,785,178 4,392,589 13,177,768 6,588,884 3,294,442 1,647,221 4,941,664 2,470,832 1,235,416 617,708 308,854 154,427 463,282 231,641 694,924 347,462 173,731 521,194 260,597 781,792 390,896 195,448 97,724 48,862 24,431 73,294 36,647 109,942 54,971 164,914 82,457 247,372 123,686 61,843 185,530 92,765 278,296 139,148 69,574 34,787

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