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Atlas › Integer Profiles › Node 7,323,975

7,323,975

32 × 52 × 43 × 757
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^2 × 43 × 757
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 13,440,856
Proper Divisor Sum 6,116,881
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7323947 ← → #7323977

Radix Representation

Decimal 7323975
Binary 11011111100000101000111 (23 bits)
Octal 0o33740507
Hexadecimal 0x6FC147

Divisor Catalog (36)

1 3 5 9 15 25 43 45 75 129 215 225 387 645 757 1,075 1,935 2,271 3,225 3,785 6,813 9,675 11,355 18,925 32,551 34,065 56,775 97,653 162,755 170,325 292,959 488,265 813,775 1,464,795 2,441,325 7,323,975

Collatz Trajectory (341 steps to reach 1)

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

7,323,975 21,971,926 10,985,963 32,957,890 16,478,945 49,436,836 24,718,418 12,359,209 37,077,628 18,538,814 9,269,407 27,808,222 13,904,111 41,712,334 20,856,167 62,568,502 31,284,251 93,852,754 46,926,377 140,779,132 70,389,566 35,194,783 105,584,350 52,792,175 158,376,526 79,188,263 237,564,790 118,782,395 356,347,186 178,173,593 534,520,780 267,260,390 133,630,195 400,890,586 200,445,293 601,335,880 300,667,940 150,333,970 75,166,985 225,500,956 112,750,478 56,375,239 169,125,718 84,562,859 253,688,578 126,844,289 380,532,868 190,266,434 95,133,217 285,399,652 142,699,826 71,349,913 214,049,740 107,024,870 53,512,435 160,537,306 80,268,653 240,805,960 120,402,980 60,201,490

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