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Atlas › Integer Profiles › Node 7,948,152

7,948,152

23 × 33 × 31 × 1187
Abundant Even Composite

7,948,152 factors as 2^3 × 3^3 × 31 × 1187. Its 64 positive divisors give a proper-divisor sum of 14,861,448, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 31 × 1187
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 22,809,600
Proper Divisor Sum 14,861,448
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7948151 ← → #7948153

Radix Representation

Decimal 7948152
Binary 11110010100011101111000 (23 bits)
Octal 0o36243570
Hexadecimal 0x794778

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1,116 1,187 1,674 2,232 2,374 3,348 3,561 4,748 6,696 7,122 9,496 10,683 14,244 21,366 28,488 32,049 36,797 42,732 64,098 73,594 85,464 110,391 128,196 147,188 220,782 256,392 294,376 331,173 441,564 662,346 883,128 993,519 1,324,692

Collatz Trajectory (129 steps to reach 1)

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

7,948,152 3,974,076 1,987,038 993,519 2,980,558 1,490,279 4,470,838 2,235,419 6,706,258 3,353,129 10,059,388 5,029,694 2,514,847 7,544,542 3,772,271 11,316,814 5,658,407 16,975,222 8,487,611 25,462,834 12,731,417 38,194,252 19,097,126 9,548,563 28,645,690 14,322,845 42,968,536 21,484,268 10,742,134 5,371,067 16,113,202 8,056,601 24,169,804 12,084,902 6,042,451 18,127,354 9,063,677 27,191,032 13,595,516 6,797,758 3,398,879 10,196,638 5,098,319 15,294,958 7,647,479 22,942,438 11,471,219 34,413,658 17,206,829 51,620,488 25,810,244 12,905,122 6,452,561 19,357,684 9,678,842 4,839,421 14,518,264 7,259,132 3,629,566 1,814,783

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