λ
Harmonic Matrix

9,701,467

103 × 131 × 719
Deficient Odd Composite

9,701,467 has digital root 7. The neighboring primes are 9701443 and 9701473; its proper-divisor sum differs from the starting integer by -9,518,774.

Prime Factor Structure

Factorization String 103 × 131 × 719
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,884,160
Proper Divisor Sum 182,693
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9701443 ← → #9701473

Radix Representation

Decimal 9701467
Binary 100101000000100001011011 (24 bits)
Octal 0o45004133
Hexadecimal 0x94085B

Divisor Catalog (8)

1 103 131 719 13,493 74,057 94,189 9,701,467

Collatz Trajectory (238 steps to reach 1)

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

9,701,467 29,104,402 14,552,201 43,656,604 21,828,302 10,914,151 32,742,454 16,371,227 49,113,682 24,556,841 73,670,524 36,835,262 18,417,631 55,252,894 27,626,447 82,879,342 41,439,671 124,319,014 62,159,507 186,478,522 93,239,261 279,717,784 139,858,892 69,929,446 34,964,723 104,894,170 52,447,085 157,341,256 78,670,628 39,335,314 19,667,657 59,002,972 29,501,486 14,750,743 44,252,230 22,126,115 66,378,346 33,189,173 99,567,520 49,783,760 24,891,880 12,445,940 6,222,970 3,111,485 9,334,456 4,667,228 2,333,614 1,166,807 3,500,422 1,750,211 5,250,634 2,625,317 7,875,952 3,937,976 1,968,988 984,494 492,247 1,476,742 738,371 2,215,114

More profiles

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