λ
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7,704,632

23 × 13 × 23 × 3221
Abundant Even Composite

7,704,632 factors as 2^3 × 13 × 23 × 3221. Its 32 positive divisors give a proper-divisor sum of 8,534,248, so this integer is abundant. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 23 × 3221
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,238,880
Proper Divisor Sum 8,534,248
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7704629 ← → #7704661

Radix Representation

Decimal 7704632
Binary 11101011001000000111000 (23 bits)
Octal 0o35310070
Hexadecimal 0x759038

Divisor Catalog (32)

1 2 4 8 13 23 26 46 52 92 104 184 299 598 1,196 2,392 3,221 6,442 12,884 25,768 41,873 74,083 83,746 148,166 167,492 296,332 334,984 592,664 963,079 1,926,158 3,852,316 7,704,632

Collatz Trajectory (217 steps to reach 1)

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

7,704,632 3,852,316 1,926,158 963,079 2,889,238 1,444,619 4,333,858 2,166,929 6,500,788 3,250,394 1,625,197 4,875,592 2,437,796 1,218,898 609,449 1,828,348 914,174 457,087 1,371,262 685,631 2,056,894 1,028,447 3,085,342 1,542,671 4,628,014 2,314,007 6,942,022 3,471,011 10,413,034 5,206,517 15,619,552 7,809,776 3,904,888 1,952,444 976,222 488,111 1,464,334 732,167 2,196,502 1,098,251 3,294,754 1,647,377 4,942,132 2,471,066 1,235,533 3,706,600 1,853,300 926,650 463,325 1,389,976 694,988 347,494 173,747 521,242 260,621 781,864 390,932 195,466 97,733 293,200

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