λ
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Atlas › Integer Profiles › Node 45,316,280

45,316,280

23 × 5 × 199 × 5693
Abundant Even Composite

45,316,280 factors as 2^3 × 5 × 199 × 5693. Its 32 positive divisors give a proper-divisor sum of 57,175,720, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 199 × 5693
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 102,492,000
Proper Divisor Sum 57,175,720
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #45316253 ← → #45316303

Radix Representation

Decimal 45316280
Binary 10101100110111100010111000 (26 bits)
Octal 0o254674270
Hexadecimal 0x2B378B8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 199 398 796 995 1,592 1,990 3,980 5,693 7,960 11,386 22,772 28,465 45,544 56,930 113,860 227,720 1,132,907 2,265,814 4,531,628 5,664,535 9,063,256 11,329,070 22,658,140 45,316,280

Collatz Trajectory (111 steps to reach 1)

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

45,316,280 22,658,140 11,329,070 5,664,535 16,993,606 8,496,803 25,490,410 12,745,205 38,235,616 19,117,808 9,558,904 4,779,452 2,389,726 1,194,863 3,584,590 1,792,295 5,376,886 2,688,443 8,065,330 4,032,665 12,097,996 6,048,998 3,024,499 9,073,498 4,536,749 13,610,248 6,805,124 3,402,562 1,701,281 5,103,844 2,551,922 1,275,961 3,827,884 1,913,942 956,971 2,870,914 1,435,457 4,306,372 2,153,186 1,076,593 3,229,780 1,614,890 807,445 2,422,336 1,211,168 605,584 302,792 151,396 75,698 37,849 113,548 56,774 28,387 85,162 42,581 127,744 63,872 31,936 15,968 7,984

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