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Atlas › Integer Profiles › Node 45,302,705

45,302,705

5 × 72 × 17 × 73 × 149
Deficient Odd Composite

45,302,705 factors as 5 × 7^2 × 17 × 73 × 149. Its 48 positive divisors give a proper-divisor sum of 23,028,895, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 5 × 7^2 × 17 × 73 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 68,331,600
Proper Divisor Sum 23,028,895
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #45302701 ← → #45302723

Radix Representation

Decimal 45302705
Binary 10101100110100001110110001 (26 bits)
Octal 0o254641661
Hexadecimal 0x2B343B1

Divisor Catalog (48)

1 5 7 17 35 49 73 85 119 149 245 365 511 595 745 833 1,043 1,241 2,533 2,555 3,577 4,165 5,215 6,205 7,301 8,687 10,877 12,665 17,731 17,885 36,505 43,435 54,385 60,809 76,139 88,655 124,117 184,909 304,045 380,695 532,973 620,585 924,545 1,294,363 2,664,865 6,471,815 9,060,541 45,302,705

Collatz Trajectory (111 steps to reach 1)

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

45,302,705 135,908,116 67,954,058 33,977,029 101,931,088 50,965,544 25,482,772 12,741,386 6,370,693 19,112,080 9,556,040 4,778,020 2,389,010 1,194,505 3,583,516 1,791,758 895,879 2,687,638 1,343,819 4,031,458 2,015,729 6,047,188 3,023,594 1,511,797 4,535,392 2,267,696 1,133,848 566,924 283,462 141,731 425,194 212,597 637,792 318,896 159,448 79,724 39,862 19,931 59,794 29,897 89,692 44,846 22,423 67,270 33,635 100,906 50,453 151,360 75,680 37,840 18,920 9,460 4,730 2,365 7,096 3,548 1,774 887 2,662 1,331

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