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Atlas › Integer Profiles › Node 3,699,050

3,699,050

2 × 52 × 167 × 443
Deficient Even Composite

3,699,050 factors as 2 × 5^2 × 167 × 443. Its 24 positive divisors give a proper-divisor sum of 3,238,006, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 167 × 443
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,937,056
Proper Divisor Sum 3,238,006
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3699049 ← → #3699079

Radix Representation

Decimal 3699050
Binary 1110000111000101101010 (22 bits)
Octal 0o16070552
Hexadecimal 0x38716A

Divisor Catalog (24)

1 2 5 10 25 50 167 334 443 835 886 1,670 2,215 4,175 4,430 8,350 11,075 22,150 73,981 147,962 369,905 739,810 1,849,525 3,699,050

Collatz Trajectory (97 steps to reach 1)

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

3,699,050 1,849,525 5,548,576 2,774,288 1,387,144 693,572 346,786 173,393 520,180 260,090 130,045 390,136 195,068 97,534 48,767 146,302 73,151 219,454 109,727 329,182 164,591 493,774 246,887 740,662 370,331 1,110,994 555,497 1,666,492 833,246 416,623 1,249,870 624,935 1,874,806 937,403 2,812,210 1,406,105 4,218,316 2,109,158 1,054,579 3,163,738 1,581,869 4,745,608 2,372,804 1,186,402 593,201 1,779,604 889,802 444,901 1,334,704 667,352 333,676 166,838 83,419 250,258 125,129 375,388 187,694 93,847 281,542 140,771

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