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Atlas › Integer Profiles › Node 7,129,530

7,129,530

2 × 32 × 5 × 37 × 2141
Abundant Even Composite

7,129,530 factors as 2 × 3^2 × 5 × 37 × 2141. Its 48 positive divisors give a proper-divisor sum of 11,917,134, so this integer is abundant. The Collatz stopping time is 297 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 37 × 2141
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,046,664
Proper Divisor Sum 11,917,134
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7129519 ← → #7129543

Radix Representation

Decimal 7129530
Binary 11011001100100110111010 (23 bits)
Octal 0o33144672
Hexadecimal 0x6CC9BA

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1,110 1,665 2,141 3,330 4,282 6,423 10,705 12,846 19,269 21,410 32,115 38,538 64,230 79,217 96,345 158,434 192,690 237,651 396,085 475,302 712,953 792,170 1,188,255 1,425,906 2,376,510 3,564,765 7,129,530

Collatz Trajectory (297 steps to reach 1)

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

7,129,530 3,564,765 10,694,296 5,347,148 2,673,574 1,336,787 4,010,362 2,005,181 6,015,544 3,007,772 1,503,886 751,943 2,255,830 1,127,915 3,383,746 1,691,873 5,075,620 2,537,810 1,268,905 3,806,716 1,903,358 951,679 2,855,038 1,427,519 4,282,558 2,141,279 6,423,838 3,211,919 9,635,758 4,817,879 14,453,638 7,226,819 21,680,458 10,840,229 32,520,688 16,260,344 8,130,172 4,065,086 2,032,543 6,097,630 3,048,815 9,146,446 4,573,223 13,719,670 6,859,835 20,579,506 10,289,753 30,869,260 15,434,630 7,717,315 23,151,946 11,575,973 34,727,920 17,363,960 8,681,980 4,340,990 2,170,495 6,511,486 3,255,743 9,767,230

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