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Atlas › Integer Profiles › Node 3,755,502

3,755,502

2 × 32 × 19 × 79 × 139
Abundant Even Composite

3,755,502 factors as 2 × 3^2 × 19 × 79 × 139. Its 48 positive divisors give a proper-divisor sum of 4,980,498, so this integer is abundant. The Collatz stopping time is 291 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 19 × 79 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,736,000
Proper Divisor Sum 4,980,498
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3755489 ← → #3755513

Radix Representation

Decimal 3755502
Binary 1110010100110111101110 (22 bits)
Octal 0o16246756
Hexadecimal 0x394DEE

Divisor Catalog (48)

1 2 3 6 9 18 19 38 57 79 114 139 158 171 237 278 342 417 474 711 834 1,251 1,422 1,501 2,502 2,641 3,002 4,503 5,282 7,923 9,006 10,981 13,509 15,846 21,962 23,769 27,018 32,943 47,538 65,886 98,829 197,658 208,639 417,278 625,917 1,251,834 1,877,751 3,755,502

Collatz Trajectory (291 steps to reach 1)

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

3,755,502 1,877,751 5,633,254 2,816,627 8,449,882 4,224,941 12,674,824 6,337,412 3,168,706 1,584,353 4,753,060 2,376,530 1,188,265 3,564,796 1,782,398 891,199 2,673,598 1,336,799 4,010,398 2,005,199 6,015,598 3,007,799 9,023,398 4,511,699 13,535,098 6,767,549 20,302,648 10,151,324 5,075,662 2,537,831 7,613,494 3,806,747 11,420,242 5,710,121 17,130,364 8,565,182 4,282,591 12,847,774 6,423,887 19,271,662 9,635,831 28,907,494 14,453,747 43,361,242 21,680,621 65,041,864 32,520,932 16,260,466 8,130,233 24,390,700 12,195,350 6,097,675 18,293,026 9,146,513 27,439,540 13,719,770 6,859,885 20,579,656 10,289,828 5,144,914

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