λ
Harmonic Matrix

7,121,359

7 × 43 × 59 × 401
Deficient Odd Composite

7,121,359 has digital root 1. The neighboring primes are 7121357 and 7121377; its proper-divisor sum differs from the starting integer by -5,752,478.

Prime Factor Structure

Factorization String 7 × 43 × 59 × 401
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,490,240
Proper Divisor Sum 1,368,881
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7121357 ← → #7121377

Radix Representation

Decimal 7121359
Binary 11011001010100111001111 (23 bits)
Octal 0o33124717
Hexadecimal 0x6CA9CF

Divisor Catalog (16)

1 7 43 59 301 401 413 2,537 2,807 17,243 17,759 23,659 120,701 165,613 1,017,337 7,121,359

Collatz Trajectory (173 steps to reach 1)

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

7,121,359 21,364,078 10,682,039 32,046,118 16,023,059 48,069,178 24,034,589 72,103,768 36,051,884 18,025,942 9,012,971 27,038,914 13,519,457 40,558,372 20,279,186 10,139,593 30,418,780 15,209,390 7,604,695 22,814,086 11,407,043 34,221,130 17,110,565 51,331,696 25,665,848 12,832,924 6,416,462 3,208,231 9,624,694 4,812,347 14,437,042 7,218,521 21,655,564 10,827,782 5,413,891 16,241,674 8,120,837 24,362,512 12,181,256 6,090,628 3,045,314 1,522,657 4,567,972 2,283,986 1,141,993 3,425,980 1,712,990 856,495 2,569,486 1,284,743 3,854,230 1,927,115 5,781,346 2,890,673 8,672,020 4,336,010 2,168,005 6,504,016 3,252,008 1,626,004

More profiles

← Previous Integer #7,121,358 Browse Full Index Next Integer #7,121,360 →