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Atlas › Integer Profiles › Node 2,907,009

2,907,009

35 × 7 × 1709
Deficient Odd Composite

2,907,009 factors as 3^5 × 7 × 1709. Its 24 positive divisors give a proper-divisor sum of 2,072,511, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 3^5 × 7 × 1709
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,979,520
Proper Divisor Sum 2,072,511
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2906999 ← → #2907011

Radix Representation

Decimal 2907009
Binary 1011000101101110000001 (22 bits)
Octal 0o13055601
Hexadecimal 0x2C5B81

Divisor Catalog (24)

1 3 7 9 21 27 63 81 189 243 567 1,701 1,709 5,127 11,963 15,381 35,889 46,143 107,667 138,429 323,001 415,287 969,003 2,907,009

Collatz Trajectory (182 steps to reach 1)

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

2,907,009 8,721,028 4,360,514 2,180,257 6,540,772 3,270,386 1,635,193 4,905,580 2,452,790 1,226,395 3,679,186 1,839,593 5,518,780 2,759,390 1,379,695 4,139,086 2,069,543 6,208,630 3,104,315 9,312,946 4,656,473 13,969,420 6,984,710 3,492,355 10,477,066 5,238,533 15,715,600 7,857,800 3,928,900 1,964,450 982,225 2,946,676 1,473,338 736,669 2,210,008 1,105,004 552,502 276,251 828,754 414,377 1,243,132 621,566 310,783 932,350 466,175 1,398,526 699,263 2,097,790 1,048,895 3,146,686 1,573,343 4,720,030 2,360,015 7,080,046 3,540,023 10,620,070 5,310,035 15,930,106 7,965,053 23,895,160

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