λ
Integer Codex

9,701,704

23 × 19 × 83 × 769
Abundant Even Composite

For 9,701,704, the 32 positive divisors have a total of 19,404,000. Removing 9,701,704 leaves 9,702,296, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 19 × 83 × 769
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,404,000
Proper Divisor Sum 9,702,296
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9701701 ← → #9701711

Radix Representation

Decimal 9701704
Binary 100101000000100101001000 (24 bits)
Octal 0o45004510
Hexadecimal 0x940948

Divisor Catalog (32)

1 2 4 8 19 38 76 83 152 166 332 664 769 1,538 1,577 3,076 3,154 6,152 6,308 12,616 14,611 29,222 58,444 63,827 116,888 127,654 255,308 510,616 1,212,713 2,425,426 4,850,852 9,701,704

Collatz Trajectory (207 steps to reach 1)

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

9,701,704 4,850,852 2,425,426 1,212,713 3,638,140 1,819,070 909,535 2,728,606 1,364,303 4,092,910 2,046,455 6,139,366 3,069,683 9,209,050 4,604,525 13,813,576 6,906,788 3,453,394 1,726,697 5,180,092 2,590,046 1,295,023 3,885,070 1,942,535 5,827,606 2,913,803 8,741,410 4,370,705 13,112,116 6,556,058 3,278,029 9,834,088 4,917,044 2,458,522 1,229,261 3,687,784 1,843,892 921,946 460,973 1,382,920 691,460 345,730 172,865 518,596 259,298 129,649 388,948 194,474 97,237 291,712 145,856 72,928 36,464 18,232 9,116 4,558 2,279 6,838 3,419 10,258

More profiles

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