λ
Sequence Observatory

7,609,087

37 × 205651
Deficient Odd Composite

Starting at 7,609,087, the Collatz iteration reaches 1 after 248 steps. The first transition is 22827262; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 37 × 205651
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,814,776
Proper Divisor Sum 205,689
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7609073 ← → #7609099

Radix Representation

Decimal 7609087
Binary 11101000001101011111111 (23 bits)
Octal 0o35015377
Hexadecimal 0x741AFF

Divisor Catalog (4)

1 37 205,651 7,609,087

Collatz Trajectory (248 steps to reach 1)

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

7,609,087 22,827,262 11,413,631 34,240,894 17,120,447 51,361,342 25,680,671 77,042,014 38,521,007 115,563,022 57,781,511 173,344,534 86,672,267 260,016,802 130,008,401 390,025,204 195,012,602 97,506,301 292,518,904 146,259,452 73,129,726 36,564,863 109,694,590 54,847,295 164,541,886 82,270,943 246,812,830 123,406,415 370,219,246 185,109,623 555,328,870 277,664,435 832,993,306 416,496,653 1,249,489,960 624,744,980 312,372,490 156,186,245 468,558,736 234,279,368 117,139,684 58,569,842 29,284,921 87,854,764 43,927,382 21,963,691 65,891,074 32,945,537 98,836,612 49,418,306 24,709,153 74,127,460 37,063,730 18,531,865 55,595,596 27,797,798 13,898,899 41,696,698 20,848,349 62,545,048

More profiles

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