λ
Harmonic Matrix

9,748,527

3 × 23 × 141283
Deficient Odd Composite

9,748,527 has digital root 6. The neighboring primes are 9748469 and 9748537; its proper-divisor sum differs from the starting integer by -5,933,790.

Prime Factor Structure

Factorization String 3 × 23 × 141283
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,563,264
Proper Divisor Sum 3,814,737
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9748469 ← → #9748537

Radix Representation

Decimal 9748527
Binary 100101001100000000101111 (24 bits)
Octal 0o45140057
Hexadecimal 0x94C02F

Divisor Catalog (8)

1 3 23 69 141,283 423,849 3,249,509 9,748,527

Collatz Trajectory (150 steps to reach 1)

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

9,748,527 29,245,582 14,622,791 43,868,374 21,934,187 65,802,562 32,901,281 98,703,844 49,351,922 24,675,961 74,027,884 37,013,942 18,506,971 55,520,914 27,760,457 83,281,372 41,640,686 20,820,343 62,461,030 31,230,515 93,691,546 46,845,773 140,537,320 70,268,660 35,134,330 17,567,165 52,701,496 26,350,748 13,175,374 6,587,687 19,763,062 9,881,531 29,644,594 14,822,297 44,466,892 22,233,446 11,116,723 33,350,170 16,675,085 50,025,256 25,012,628 12,506,314 6,253,157 18,759,472 9,379,736 4,689,868 2,344,934 1,172,467 3,517,402 1,758,701 5,276,104 2,638,052 1,319,026 659,513 1,978,540 989,270 494,635 1,483,906 741,953 2,225,860

More profiles

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